Pith Number

pith:2KXT2SBM

pith:2014:2KXT2SBMLR2QHRHW56NUJBBCTS

not attested not anchored not stored refs pending

Transitivity is not a (big) restriction on homotopy types

Michal Adamaszek

arxiv:1409.4966 v1 · 2014-09-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KXT2SBMLR2QHRHW56NUJBBCTS}

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	2026-05-18T02:42:38.224691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2af3d482c5c7503c4f6ef9b4484229ca811297ee099838bc781993daac719d4

Aliases

arxiv: 1409.4966 · arxiv_version: 1409.4966v1 · doi: 10.48550/arxiv.1409.4966 · pith_short_12: 2KXT2SBMLR2Q · pith_short_16: 2KXT2SBMLR2QHRHW · pith_short_8: 2KXT2SBM

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/2KXT2SBMLR2QHRHW56NUJBBCTS \
  | 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: d2af3d482c5c7503c4f6ef9b4484229ca811297ee099838bc781993daac719d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda6b8fb80339e9327af6d183ab89e80a036aa50cee00578fd8f03deca1b089f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-17T12:23:02Z",
    "title_canon_sha256": "769a64b25649f9deab99bcbf1932f78df010faefd295fd1e89941a5a67095ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4966",
    "kind": "arxiv",
    "version": 1
  }
}