Pith Number

pith:O5PE3MQJ

pith:2015:O5PE3MQJCFBSBLGFQU2TW3TMQ7

not attested not anchored not stored refs pending

An approach to computing downward closures

Georg Zetzsche

arxiv:1503.01068 v2 · 2015-03-03 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5PE3MQJCFBSBLGFQU2TW3TMQ7}

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	2026-05-18T01:59:57.662482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775e4db209114320acc585353b6e6c87da0189d305e82193c276695e721ed21b

Aliases

arxiv: 1503.01068 · arxiv_version: 1503.01068v2 · doi: 10.48550/arxiv.1503.01068 · pith_short_12: O5PE3MQJCFBS · pith_short_16: O5PE3MQJCFBSBLGF · pith_short_8: O5PE3MQJ

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/O5PE3MQJCFBSBLGFQU2TW3TMQ7 \
  | 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: 775e4db209114320acc585353b6e6c87da0189d305e82193c276695e721ed21b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a172124da604c8ae835ee8305daf14ff8f5612ff95e470edbe3b1820908eb4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-03-03T19:19:56Z",
    "title_canon_sha256": "27f1327c47676f8bf4163d5ebbc1be582a427a5af1b7d2c3c09e18da13840d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01068",
    "kind": "arxiv",
    "version": 2
  }
}