Pith Number

pith:YO5O6TAX

pith:2015:YO5O6TAXO2CG6HT5VWBOVHYFVG

not attested not anchored not stored refs pending

The choice of cofibrations of higher dimensional transition systems

Philippe Gaucher

arxiv:1507.07345 v3 · 2015-07-27 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YO5O6TAXO2CG6HT5VWBOVHYFVG}

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	2026-05-18T01:27:31.383515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3baef4c1776846f1e7dad82ea9f05a9ae01fd5f5eacf852e17ae3293dee7b74

Aliases

arxiv: 1507.07345 · arxiv_version: 1507.07345v3 · doi: 10.48550/arxiv.1507.07345 · pith_short_12: YO5O6TAXO2CG · pith_short_16: YO5O6TAXO2CG6HT5 · pith_short_8: YO5O6TAX

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/YO5O6TAXO2CG6HT5VWBOVHYFVG \
  | 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: c3baef4c1776846f1e7dad82ea9f05a9ae01fd5f5eacf852e17ae3293dee7b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ecd3cbd7ad104e611b957cf0885d59ab92e63e72b32a8bcdb96e883ead21c3d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-07-27T09:56:23Z",
    "title_canon_sha256": "af985bc3e2c1dc71f448d06a5f64bc703e27639e47afe4621ed55516bdcc5649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07345",
    "kind": "arxiv",
    "version": 3
  }
}