Pith Number

pith:ZWOEPPDM

pith:2022:ZWOEPPDMA7VXYJQF4ASB6TLGQX

not attested not anchored not stored refs pending

The prismatization of $p$-adic formal schemes

Bhargav Bhatt, Jacob Lurie

arxiv:2201.06124 v1 · 2022-01-16 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWOEPPDMA7VXYJQF4ASB6TLGQX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

9 papers in Pith

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance

Frobenius--Witt cotangent complexes

Prismatic cohomology relative to $\delta$-rings

An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Syntomification and crystalline local systems

Receipt and verification

First computed	2026-07-05T03:48:54.903293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9c47bc6c07eb7c2605e0241f4d6685eace563764b760aceb545baa3b041777

Aliases

arxiv: 2201.06124 · arxiv_version: 2201.06124v1 · doi: 10.48550/arxiv.2201.06124 · pith_short_12: ZWOEPPDMA7VX · pith_short_16: ZWOEPPDMA7VXYJQF · pith_short_8: ZWOEPPDM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZWOEPPDMA7VXYJQF4ASB6TLGQX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cd9c47bc6c07eb7c2605e0241f4d6685eace563764b760aceb545baa3b041777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204c15b04413351977168ebcce509242d2243b3f55ff9761a375201e4ae7207c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-01-16T19:38:19Z",
    "title_canon_sha256": "b710f409514e6db9ba738706a6a379a5d3f403e583b88591a48ec09f68b297fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.06124",
    "kind": "arxiv",
    "version": 1
  }
}