Pith Number

pith:MORSVDVJ

pith:2011:MORSVDVJ3RSP3CYB3XD3KLMSQT

not attested not anchored not stored refs pending

Crystalline cohomology and de Rham cohomology

Aise Johan de Jong, Bhargav Bhatt

arxiv:1110.5001 v1 · 2011-10-22 · 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{MORSVDVJ3RSP3CYB3XD3KLMSQT}

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	2026-05-18T04:10:24.950688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a32a8ea9dc64fd8b01ddc7b52d9284e272ec5661d50e943a883e71996676a5

Aliases

arxiv: 1110.5001 · arxiv_version: 1110.5001v1 · doi: 10.48550/arxiv.1110.5001 · pith_short_12: MORSVDVJ3RSP · pith_short_16: MORSVDVJ3RSP3CYB · pith_short_8: MORSVDVJ

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/MORSVDVJ3RSP3CYB3XD3KLMSQT \
  | 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: 63a32a8ea9dc64fd8b01ddc7b52d9284e272ec5661d50e943a883e71996676a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d828486b6b85e6749792fed5e7b99db2f489a162b24d21ae8c46aed537bf155",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-22T20:58:25Z",
    "title_canon_sha256": "ac0dc32a2ad3280965485f82f5649733ea95ae74494c304d7e090677ee0476f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5001",
    "kind": "arxiv",
    "version": 1
  }
}