Pith Number

pith:MIUMCKGA

pith:2012:MIUMCKGA2MW6F7AWNZLOCAMCJI

not attested not anchored not stored refs pending

Learning-Assisted Automated Reasoning with Flyspeck

Cezary Kaliszyk, Josef Urban

arxiv:1211.7012 v3 · 2012-11-29 · cs.AI · cs.DL · cs.LG · 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{MIUMCKGA2MW6F7AWNZLOCAMCJI}

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	2026-07-05T03:36:49.805343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6228c128c0d32de2fc166e56e101824a3f250771e6df023c2c11279a7409e1ff

Aliases

arxiv: 1211.7012 · arxiv_version: 1211.7012v3 · doi: 10.48550/arxiv.1211.7012 · pith_short_12: MIUMCKGA2MW6 · pith_short_16: MIUMCKGA2MW6F7AW · pith_short_8: MIUMCKGA

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/MIUMCKGA2MW6F7AWNZLOCAMCJI \
  | 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: 6228c128c0d32de2fc166e56e101824a3f250771e6df023c2c11279a7409e1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fadc026fd4c0ea2196716e7dce8c4c151756ea855a23d4bea23f05c76447b34",
    "cross_cats_sorted": [
      "cs.DL",
      "cs.LG",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-11-29T18:15:10Z",
    "title_canon_sha256": "702bb7e72062716cfafc536c5707ca9c0055df87e1df3c50dabc6160f7ffd56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7012",
    "kind": "arxiv",
    "version": 3
  }
}