Pith Number

pith:4F7M5X42

pith:2025:4F7M5X42DDYBLDIE3NNZTWAUGI

not attested not anchored not stored refs pending

Prismatic cohomology and $A_{\inf}$-cohomology with coefficients

Takeshi Tsuji

arxiv:2509.04954 v1 · 2025-09-05 · 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{4F7M5X42DDYBLDIE3NNZTWAUGI}

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.

Receipt and verification

First computed	2026-07-05T12:05:33.268089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17ecedf9a18f0158d04db5b99d81432285a3a850c61a181a62921a83ab5c996

Aliases

arxiv: 2509.04954 · arxiv_version: 2509.04954v1 · doi: 10.48550/arxiv.2509.04954 · pith_short_12: 4F7M5X42DDYB · pith_short_16: 4F7M5X42DDYBLDIE · pith_short_8: 4F7M5X42

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/4F7M5X42DDYBLDIE3NNZTWAUGI \
  | 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: e17ecedf9a18f0158d04db5b99d81432285a3a850c61a181a62921a83ab5c996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f85f6cec8dbab368cb929b209f648de545dc28399dbfe1e49041c2f0d345c0a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-05T09:20:02Z",
    "title_canon_sha256": "47f582525c1b5de960569d4551d279070b418ec855a3c48bbb9e03889429b010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04954",
    "kind": "arxiv",
    "version": 1
  }
}