Pith Number

pith:Y327YPCC

pith:2019:Y327YPCCB7DXCXX4MR4THXOPIZ

not attested not anchored not stored refs pending

Most unexposed taut one-relator presentation 2-complexes are finitely unsplittable

Fredric D. Ancel, Pete Sparks

arxiv:1907.06742 v1 · 2019-07-15 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y327YPCCB7DXCXX4MR4THXOPIZ}

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	2026-05-17T23:40:29.307640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f5fc3c420fc7715efc647933ddcf4661707fcf985818b0ddab5c5045b228df

Aliases

arxiv: 1907.06742 · arxiv_version: 1907.06742v1 · doi: 10.48550/arxiv.1907.06742 · pith_short_12: Y327YPCCB7DX · pith_short_16: Y327YPCCB7DXCXX4 · pith_short_8: Y327YPCC

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/Y327YPCCB7DXCXX4MR4THXOPIZ \
  | 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: c6f5fc3c420fc7715efc647933ddcf4661707fcf985818b0ddab5c5045b228df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae148b855fe35d3338ee465fef79542e86b3c6bd0fc7033c7658626d3be964be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-15T20:40:04Z",
    "title_canon_sha256": "1365de0cc02c462cd680fd6ac887653695d8cb11e5c0b4492afb80866aca51de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06742",
    "kind": "arxiv",
    "version": 1
  }
}