Pith Number

pith:YACTXLL5

pith:2025:YACTXLL5DCMMIYXHE2WZBP4PS6

not attested not anchored not stored refs pending

An integral comparison of crystalline and de Rham cohomology

Abhinandan, Alex Youcis

arxiv:2507.17631 v1 · 2025-07-23 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YACTXLL5DCMMIYXHE2WZBP4PS6}

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	2026-07-05T11:42:10.972290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0053bad7d1898c462e726ad90bf8f97a81a8affd001a5a46ef4542d75349012

Aliases

arxiv: 2507.17631 · arxiv_version: 2507.17631v1 · doi: 10.48550/arxiv.2507.17631 · pith_short_12: YACTXLL5DCMM · pith_short_16: YACTXLL5DCMMIYXH · pith_short_8: YACTXLL5

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/YACTXLL5DCMMIYXHE2WZBP4PS6 \
  | 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: c0053bad7d1898c462e726ad90bf8f97a81a8affd001a5a46ef4542d75349012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112a21d7ff24f8fea61b84d39730eac465f3ec041e49ebffd29b7f9e8cf7f3bb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-23T15:56:39Z",
    "title_canon_sha256": "0eea67c09d6378aacc7a4708d804cbe97efdf38315dc202fca48459214171231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17631",
    "kind": "arxiv",
    "version": 1
  }
}