Pith Number

pith:TYWFBHGG

pith:2024:TYWFBHGG3LHH2RIT3MZD4OXMKG

not attested not anchored not stored refs pending

Modular Arrangements

A. Levin, N. Sakharova

arxiv:2412.17795 v2 · 2024-12-23 · 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{TYWFBHGG3LHH2RIT3MZD4OXMKG}

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	2026-07-05T09:59:57.793818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2c509cc6dace7d4513db323e3aec51a8ddcbba2a0398f2a64851e1a9d94a06

Aliases

arxiv: 2412.17795 · arxiv_version: 2412.17795v2 · doi: 10.48550/arxiv.2412.17795 · pith_short_12: TYWFBHGG3LHH · pith_short_16: TYWFBHGG3LHH2RIT · pith_short_8: TYWFBHGG

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/TYWFBHGG3LHH2RIT3MZD4OXMKG \
  | 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: 9e2c509cc6dace7d4513db323e3aec51a8ddcbba2a0398f2a64851e1a9d94a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ff2b1c9c2dc5c270602cecb622ab8e9b700884048da6e49f25ab6fda335cce",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-23T18:51:55Z",
    "title_canon_sha256": "a256299e4056c38726997f750a7ecf1ae95b340f7037bdd78f790537452f25e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17795",
    "kind": "arxiv",
    "version": 2
  }
}