Pith Number

pith:DY3KPIIJ

pith:2014:DY3KPIIJNOZZ33J44PABFQQBSC

not attested not anchored not stored refs pending

Generalized Small Cancellation Presentations for Automatic Groups

Robert H. Gilman

arxiv:1406.7414 v1 · 2014-06-28 · 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{DY3KPIIJNOZZ33J44PABFQQBSC}

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	2026-05-18T02:48:45.400071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e36a7a1096bb39ded3ce3c012c20190aed99d554bd22d619408e2cfe8965486

Aliases

arxiv: 1406.7414 · arxiv_version: 1406.7414v1 · doi: 10.48550/arxiv.1406.7414 · pith_short_12: DY3KPIIJNOZZ · pith_short_16: DY3KPIIJNOZZ33J4 · pith_short_8: DY3KPIIJ

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/DY3KPIIJNOZZ33J44PABFQQBSC \
  | 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: 1e36a7a1096bb39ded3ce3c012c20190aed99d554bd22d619408e2cfe8965486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e119e4f34c436657dfa353c0935604fd2537241161bb26908e7ee6ee0714b583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-28T15:08:39Z",
    "title_canon_sha256": "5e7b07dcb4bcfbcd2f83665ffdc65c821a6a8d2e60387ea4b9dd83c19ccd61ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7414",
    "kind": "arxiv",
    "version": 1
  }
}