Pith Number

pith:CXQ4Y2ZV

pith:2013:CXQ4Y2ZV7HDD5FQW2IF7VAYS6I

not attested not anchored not stored refs pending

The rational homology of spaces of long links

Paul Arnaud Songhafouo Tsopm\'en\'e

arxiv:1312.7280 v3 · 2013-12-27 · 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{CXQ4Y2ZV7HDD5FQW2IF7VAYS6I}

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	2026-05-18T00:43:31.464855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c

Aliases

arxiv: 1312.7280 · arxiv_version: 1312.7280v3 · doi: 10.48550/arxiv.1312.7280 · pith_short_12: CXQ4Y2ZV7HDD · pith_short_16: CXQ4Y2ZV7HDD5FQW · pith_short_8: CXQ4Y2ZV

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/CXQ4Y2ZV7HDD5FQW2IF7VAYS6I \
  | 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: 15e1cc6b35f9c63e9616d20bfa8312f22e08c4bb31845d93b1a04305e3e4984c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fdd05f2d9a2e7de76787da7c564e28a659599a6dea7c51053b272692c86f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-27T15:18:56Z",
    "title_canon_sha256": "9156fe24239fb1c45b72df307c084480b556a4edec8547866267de8a40b210af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7280",
    "kind": "arxiv",
    "version": 3
  }
}