Pith Number

pith:2PES5LKP

pith:2013:2PES5LKP6QBVEWMLKVN4Z3GDJI

not attested not anchored not stored refs pending

Deformation theory and finite simple quotients of triangle groups I

Alexander Lubotzky, Claude Marion, Michael Larsen

arxiv:1301.2949 v1 · 2013-01-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PES5LKP6QBVEWMLKVN4Z3GDJI}

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	2026-05-18T03:36:27.743523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c92ead4ff40352598b555bccecc34a1b2eabdff60e274abaa266d1cebc8dca

Aliases

arxiv: 1301.2949 · arxiv_version: 1301.2949v1 · doi: 10.48550/arxiv.1301.2949 · pith_short_12: 2PES5LKP6QBV · pith_short_16: 2PES5LKP6QBVEWML · pith_short_8: 2PES5LKP

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/2PES5LKP6QBVEWMLKVN4Z3GDJI \
  | 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: d3c92ead4ff40352598b555bccecc34a1b2eabdff60e274abaa266d1cebc8dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be5840e9f3d21b407de57a6d78ca05650f01cece6545d62b03ebeb34c63ec2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-14T12:37:51Z",
    "title_canon_sha256": "17f72458413004358dcf365991e7e546173079bdfbc029a86868808022fb0c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2949",
    "kind": "arxiv",
    "version": 1
  }
}