Pith Number

pith:W6U5J72L

pith:2010:W6U5J72LV7LCDUY3NJ67NQI44P

not attested not anchored not stored refs pending

Algebraic Proofs over Noncommutative Formulas

Iddo Tzameret

arxiv:1004.2159 v2 · 2010-04-13 · 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{W6U5J72LV7LCDUY3NJ67NQI44P}

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	2026-05-18T04:42:44.510152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a9d4ff4bafd621d31b6a7df6c11ce3ec29bace0f972d1a0e2564e108b3250d

Aliases

arxiv: 1004.2159 · arxiv_version: 1004.2159v2 · doi: 10.48550/arxiv.1004.2159 · pith_short_12: W6U5J72LV7LC · pith_short_16: W6U5J72LV7LCDUY3 · pith_short_8: W6U5J72L

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/W6U5J72LV7LCDUY3NJ67NQI44P \
  | 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: b7a9d4ff4bafd621d31b6a7df6c11ce3ec29bace0f972d1a0e2564e108b3250d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c864883d34c8c6a69d44abda5185ea83fa23d0f96fa5f48d5cc0c741f9eed181",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-04-13T12:13:13Z",
    "title_canon_sha256": "68594ecbfd983932f6b3b6c01993f7a15b6456a6ae4c646f6ede4f66eb3fdb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2159",
    "kind": "arxiv",
    "version": 2
  }
}