Pith Number

pith:655RG4E2

pith:2013:655RG4E2PQP3OWDUW34FNM4LMW

not attested not anchored not stored refs pending

Regulator of modular units and Mahler measures

Wadim Zudilin

arxiv:1304.3869 v2 · 2013-04-14 · math.NT · math.AG · math.CA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{655RG4E2PQP3OWDUW34FNM4LMW}

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	2026-05-17T23:53:17.663818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77b13709a7c1fb75874b6f856b38b65ab92b84e793e215890bc6d480668a5c5

Aliases

arxiv: 1304.3869 · arxiv_version: 1304.3869v2 · doi: 10.48550/arxiv.1304.3869 · pith_short_12: 655RG4E2PQP3 · pith_short_16: 655RG4E2PQP3OWDU · pith_short_8: 655RG4E2

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/655RG4E2PQP3OWDUW34FNM4LMW \
  | 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: f77b13709a7c1fb75874b6f856b38b65ab92b84e793e215890bc6d480668a5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb836f647a50581b905a1a960be8f9eb25b70dfa1a61c312e0039596da7d5c1",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-14T01:38:53Z",
    "title_canon_sha256": "8b999131658b46527dabfdf8fe55371f1c26e303ab343b2064763e205b294ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3869",
    "kind": "arxiv",
    "version": 2
  }
}