Pith Number

pith:MU72TNMJ

pith:2012:MU72TNMJBZ5U6KIWPXMRW2ZGGZ

not attested not anchored not stored refs pending

Sparse extractor families for all the entropy

Andrej Bogdanov, Siyao Guo

arxiv:1207.6260 v1 · 2012-07-26 · cs.CC · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU72TNMJBZ5U6KIWPXMRW2ZGGZ}

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	2026-05-18T03:50:08.324105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653fa9b5890e7b4f29167dd91b6b2636420973eb234f6b0d41db8cd15459be71

Aliases

arxiv: 1207.6260 · arxiv_version: 1207.6260v1 · doi: 10.48550/arxiv.1207.6260 · pith_short_12: MU72TNMJBZ5U · pith_short_16: MU72TNMJBZ5U6KIW · pith_short_8: MU72TNMJ

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/MU72TNMJBZ5U6KIWPXMRW2ZGGZ \
  | 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: 653fa9b5890e7b4f29167dd91b6b2636420973eb234f6b0d41db8cd15459be71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9c782cd9cd75904c976f48047fe5ee84b0d32cb124d7627d333517007d5d1f",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-07-26T13:00:44Z",
    "title_canon_sha256": "dae64f36f31f23426d3799db70a2aa4144ae4ecd938e70dd600fd3bc72357857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6260",
    "kind": "arxiv",
    "version": 1
  }
}