Pith Number

pith:YH3AIWSE

pith:2013:YH3AIWSEK4BTHCTIZNGEOYE5T3

not attested not anchored not stored refs pending

Type refinement and monoidal closed bifibrations

Noam Zeilberger, Paul-Andr\'e Melli\`es

arxiv:1310.0263 v1 · 2013-10-01 · cs.LO · cs.PL · 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{YH3AIWSEK4BTHCTIZNGEOYE5T3}

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	2026-05-18T03:11:44.973245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f6045a445703338a68cb4c47609d9ef8b8e59a55bc03e6d504267c56b42dc7

Aliases

arxiv: 1310.0263 · arxiv_version: 1310.0263v1 · doi: 10.48550/arxiv.1310.0263 · pith_short_12: YH3AIWSEK4BT · pith_short_16: YH3AIWSEK4BTHCTI · pith_short_8: YH3AIWSE

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/YH3AIWSEK4BTHCTIZNGEOYE5T3 \
  | 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: c1f6045a445703338a68cb4c47609d9ef8b8e59a55bc03e6d504267c56b42dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd13941ce2e6d40422c2e4fdbdc68da814dd77f017fa70bb36df3be529a59ed",
    "cross_cats_sorted": [
      "cs.PL",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-10-01T12:13:52Z",
    "title_canon_sha256": "44d42521a9a88b8b672017791a58761e5bc7efee540743dd494f9b3551abe516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0263",
    "kind": "arxiv",
    "version": 1
  }
}