Pith Number

pith:BGROX54S

pith:2012:BGROX54SD6YA3TWC4PMU4ITZ5J

not attested not anchored not stored refs pending

Dependence and Independence

Erich Gr\"adel, Jouko V\"a\"an\"anen

arxiv:1208.5268 v1 · 2012-08-27 · cs.LO · math.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{BGROX54SD6YA3TWC4PMU4ITZ5J}

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	2026-05-18T03:46:59.900687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a2ebf7921fb00dcec2e3d94e2279ea775e3eba41e0a290281f48cd442d1008

Aliases

arxiv: 1208.5268 · arxiv_version: 1208.5268v1 · doi: 10.48550/arxiv.1208.5268 · pith_short_12: BGROX54SD6YA · pith_short_16: BGROX54SD6YA3TWC · pith_short_8: BGROX54S

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/BGROX54SD6YA3TWC4PMU4ITZ5J \
  | 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: 09a2ebf7921fb00dcec2e3d94e2279ea775e3eba41e0a290281f48cd442d1008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3842ac90ed994debe1092d357e55dd03d2695c4e4b3afc1143afd498c13a099",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-08-27T00:12:13Z",
    "title_canon_sha256": "7440e4394df358b6653264dbdaaed70c381fa08458ee225081a33c0daad628e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5268",
    "kind": "arxiv",
    "version": 1
  }
}