Pith Number

pith:NX3A52VI

pith:2013:NX3A52VI7KTXGTTBLXTIZUNLJJ

not attested not anchored not stored refs pending

Deformation theory and finite simple quotients of triangle groups II

Alexander Lubotzky, Claude Marion, Michael Larsen

arxiv:1301.2955 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{NX3A52VI7KTXGTTBLXTIZUNLJJ}

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	2026-05-18T03:36:27.732845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df60eeaa8faa7734e615de68cd1ab4a63a0d4e92012140057d2c969f7efc2c5

Aliases

arxiv: 1301.2955 · arxiv_version: 1301.2955v1 · doi: 10.48550/arxiv.1301.2955 · pith_short_12: NX3A52VI7KTX · pith_short_16: NX3A52VI7KTXGTTB · pith_short_8: NX3A52VI

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/NX3A52VI7KTXGTTBLXTIZUNLJJ \
  | 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: 6df60eeaa8faa7734e615de68cd1ab4a63a0d4e92012140057d2c969f7efc2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5916b9c8257fa6f8c9fa49abbfccbb62cf559e54b46078acb6405834da74f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-14T12:42:26Z",
    "title_canon_sha256": "c68a0d242d84f813cbcee5e8d20f7739f76d8747d851a349a9710da119e321ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2955",
    "kind": "arxiv",
    "version": 1
  }
}