Pith Number

pith:D64LXMG4

pith:2013:D64LXMG4KMZAXL34WU45QEPNMF

not attested not anchored not stored refs pending

The R-operator for Modular Double

D. Chicherin, S. Derkachov

arxiv:1309.0803 v1 · 2013-09-03 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D64LXMG4KMZAXL34WU45QEPNMF}

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	2026-05-18T01:47:50.219781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb8bbb0dc53320baf7cb539d811ed6140cc17af63e34944ca5db9bb6b26837b

Aliases

arxiv: 1309.0803 · arxiv_version: 1309.0803v1 · doi: 10.48550/arxiv.1309.0803 · pith_short_12: D64LXMG4KMZA · pith_short_16: D64LXMG4KMZAXL34 · pith_short_8: D64LXMG4

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/D64LXMG4KMZAXL34WU45QEPNMF \
  | 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: 1fb8bbb0dc53320baf7cb539d811ed6140cc17af63e34944ca5db9bb6b26837b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98abe1c5160df1a89e6268142356cfcc3e8a5492122ce031aa9e4307f7393293",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-03T19:55:55Z",
    "title_canon_sha256": "3a173066ce912be77b4fe89d5f223e334974f9bac43d25e176d7d91ebaf7a3a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0803",
    "kind": "arxiv",
    "version": 1
  }
}