Pith Number

pith:BS35TAP5

pith:2013:BS35TAP5R2NWVLLCSBWYHYZDMT

not attested not anchored not stored refs pending

Kan injectivity in order-enriched categories

Jiri Adamek, Jiri Velebil, Lurdes Sousa

arxiv:1311.1721 v1 · 2013-11-07 · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BS35TAP5R2NWVLLCSBWYHYZDMT}

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	2026-05-17T23:53:14.960486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb7d981fd8e9b6aad62906d83e32364fae30489a21b9e5d9bc47312f6b3b015

Aliases

arxiv: 1311.1721 · arxiv_version: 1311.1721v1 · doi: 10.48550/arxiv.1311.1721 · pith_short_12: BS35TAP5R2NW · pith_short_16: BS35TAP5R2NWVLLC · pith_short_8: BS35TAP5

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/BS35TAP5R2NWVLLCSBWYHYZDMT \
  | 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: 0cb7d981fd8e9b6aad62906d83e32364fae30489a21b9e5d9bc47312f6b3b015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244e6ade41a6217b878f23ffedc3a658c6ab357f899571968561efae62245f7c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-11-07T15:56:20Z",
    "title_canon_sha256": "0792a5cf2f0d6e9369f35eda4fb46a40e7574962b3fcee30393ed266f67cfade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1721",
    "kind": "arxiv",
    "version": 1
  }
}