Pith Number

pith:VVSVLXMR

pith:2024:VVSVLXMRE6N3IZSAMF7QKFNV7N

not attested not anchored not stored refs pending

Cohomology and congruences

Masha Vlasenko

arxiv:2412.13313 v1 · 2024-12-17 · math.NT · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVSVLXMRE6N3IZSAMF7QKFNV7N}

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	2026-07-05T09:50:59.556427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6555dd91279bb46640617f0515b5fb71cc6af394b15ca7b01740ca5d39b049

Aliases

arxiv: 2412.13313 · arxiv_version: 2412.13313v1 · doi: 10.48550/arxiv.2412.13313 · pith_short_12: VVSVLXMRE6N3 · pith_short_16: VVSVLXMRE6N3IZSA · pith_short_8: VVSVLXMR

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/VVSVLXMRE6N3IZSAMF7QKFNV7N \
  | 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: ad6555dd91279bb46640617f0515b5fb71cc6af394b15ca7b01740ca5d39b049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc18c54f12bf89d2f9f3a8885d3d0ab82a1cce7e80e21f9a596ef46434281a9c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-17T20:29:29Z",
    "title_canon_sha256": "e920d3b67f5596477ff19834157f4c2cc247af28aac18aff44c8ffc7be11789b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13313",
    "kind": "arxiv",
    "version": 1
  }
}