Pith Number

pith:JXA7XF3F

pith:2012:JXA7XF3F2FCMNYHCKZZE5LLWMJ

not attested not anchored not stored refs pending

Pebble Games and Linear Equations

Martin Grohe, Martin Otto

arxiv:1204.1990 v3 · 2012-04-09 · cs.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXA7XF3F2FCMNYHCKZZE5LLWMJ}

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	2026-05-18T02:20:37.263992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc1fb9765d144c6e0e256724ead76627852a2d9b26e93bc0b66cce2710d82ac

Aliases

arxiv: 1204.1990 · arxiv_version: 1204.1990v3 · doi: 10.48550/arxiv.1204.1990 · pith_short_12: JXA7XF3F2FCM · pith_short_16: JXA7XF3F2FCMNYHC · pith_short_8: JXA7XF3F

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/JXA7XF3F2FCMNYHCKZZE5LLWMJ \
  | 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: 4dc1fb9765d144c6e0e256724ead76627852a2d9b26e93bc0b66cce2710d82ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cd7eb2db3dd7371dc5efb59da464d5f332a0eee9c28b413f25c6b91008f6e68",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-04-09T21:00:07Z",
    "title_canon_sha256": "ed908166bde0962f35ba2170d03f222156cb0473b27e157404721075b887408e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1990",
    "kind": "arxiv",
    "version": 3
  }
}