Pith Number

pith:QBFTJSXB

pith:2014:QBFTJSXBDGHD2XND7VGO6FQDRO

not attested not anchored not stored refs pending

Characterizing Propositional Proofs as Non-Commutative Formulas

Fu Li, Iddo Tzameret, Zhengyu Wang

arxiv:1412.8746 v4 · 2014-12-30 · cs.CC · 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{QBFTJSXBDGHD2XND7VGO6FQDRO}

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	2026-05-18T01:33:24.252892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804b34cae1198e3d5da3fd4cef16038b957b4884c346e37930dcb8d2f6cb136b

Aliases

arxiv: 1412.8746 · arxiv_version: 1412.8746v4 · doi: 10.48550/arxiv.1412.8746 · pith_short_12: QBFTJSXBDGHD · pith_short_16: QBFTJSXBDGHD2XND · pith_short_8: QBFTJSXB

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/QBFTJSXBDGHD2XND7VGO6FQDRO \
  | 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: 804b34cae1198e3d5da3fd4cef16038b957b4884c346e37930dcb8d2f6cb136b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f544a24ca1e9ac4369fa64f2f64e9ceb43261b5937410bb237c9442a17bce747",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-12-30T19:48:55Z",
    "title_canon_sha256": "4f40f4af3a6552c73fb55912371a2191d038e29709e5f50ce51af3c812ffe88c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8746",
    "kind": "arxiv",
    "version": 4
  }
}