Pith Number

pith:4ZWVC6M6

pith:2021:4ZWVC6M6CKPCRDAGRUXAXOTA5B

not attested not anchored not stored refs pending

Revisiting derived crystalline cohomology

Zhouhang Mao

arxiv:2107.02921 v2 · 2021-07-06 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZWVC6M6CKPCRDAGRUXAXOTA5B}

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

2 papers in Pith

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

Condensed Mathematics and Complex Geometry

Receipt and verification

First computed	2026-07-05T09:03:44.979930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66d51799e129e288c068d2e0bba60e857dc0b6f6a01d065657954325751967b

Aliases

arxiv: 2107.02921 · arxiv_version: 2107.02921v2 · doi: 10.48550/arxiv.2107.02921 · pith_short_12: 4ZWVC6M6CKPC · pith_short_16: 4ZWVC6M6CKPCRDAG · pith_short_8: 4ZWVC6M6

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/4ZWVC6M6CKPCRDAGRUXAXOTA5B \
  | 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: e66d51799e129e288c068d2e0bba60e857dc0b6f6a01d065657954325751967b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab982d1919c62791b3dcbc6b5352ae75a3918aa9b65deb6feeb1b56dbdc8516f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-06T22:01:26Z",
    "title_canon_sha256": "b1a0ea0053432e8ddcdc9a729b34c72636fe60fe03393c9d326b8d2d69f92b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02921",
    "kind": "arxiv",
    "version": 2
  }
}