Pith Number

pith:IUM53WCC

pith:2014:IUM53WCC5ML3FWRAVRZ7YOLLVX

not attested not anchored not stored refs pending

The fundamental theorem of cubical small cancellation theory

Kasia Jankiewicz

arxiv:1401.4995 v2 · 2014-01-20 · 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{IUM53WCC5ML3FWRAVRZ7YOLLVX}

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	2026-05-18T00:29:15.987026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4519ddd842eb17b2da20ac73fc396bade253fbef8e94ab7a3805497f4adff302

Aliases

arxiv: 1401.4995 · arxiv_version: 1401.4995v2 · doi: 10.48550/arxiv.1401.4995 · pith_short_12: IUM53WCC5ML3 · pith_short_16: IUM53WCC5ML3FWRA · pith_short_8: IUM53WCC

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/IUM53WCC5ML3FWRAVRZ7YOLLVX \
  | 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: 4519ddd842eb17b2da20ac73fc396bade253fbef8e94ab7a3805497f4adff302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7481d10dbfb418e59f5daf235b4f12e32ded6d183e82d9fd28ccd17caf36eaf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-20T17:36:40Z",
    "title_canon_sha256": "2bc151618a99795792039d2cb53c018b2284e8401aa4eda7720f49ae056d4aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4995",
    "kind": "arxiv",
    "version": 2
  }
}