Pith Number

pith:4I5B6ZGO

pith:2011:4I5B6ZGOVP3LFGRVP2RMIRLGVW

not attested not anchored not stored refs pending

Computer certified efficient exact reals in Coq

Bas Spitters, Robbert Krebbers

arxiv:1105.2751 v1 · 2011-05-13 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I5B6ZGOVP3LFGRVP2RMIRLGVW}

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	2026-05-18T04:06:07.879941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23a1f64ceabf6b29a357ea2c44566ad899df984e425918ad3548446e4516e4f

Aliases

arxiv: 1105.2751 · arxiv_version: 1105.2751v1 · doi: 10.48550/arxiv.1105.2751 · pith_short_12: 4I5B6ZGOVP3L · pith_short_16: 4I5B6ZGOVP3LFGRV · pith_short_8: 4I5B6ZGO

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/4I5B6ZGOVP3LFGRVP2RMIRLGVW \
  | 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: e23a1f64ceabf6b29a357ea2c44566ad899df984e425918ad3548446e4516e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6190f83fa8eb002d250aad3bc798cfb8350fd9d6062d7e62af6411f80d10575b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-05-13T15:13:57Z",
    "title_canon_sha256": "019e6e8b10c17991f2ec84da8cd36510dc8e4cffc5b86a52f9a84de5bf6d33fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2751",
    "kind": "arxiv",
    "version": 1
  }
}