Pith Number

pith:6WS7HIPC

pith:2015:6WS7HIPC5QQLKET7NB4Q24GY3M

not attested not anchored not stored refs pending

General normal forms for any additive logic

Mohamed Khaled

arxiv:1511.03631 v3 · 2015-11-11 · 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{6WS7HIPC5QQLKET7NB4Q24GY3M}

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	2026-05-18T00:12:02.715668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a5f3a1e2ec20b5127f68790d70d8db1bdd4b40cd349d72cd82bfcd3a89d8f7

Aliases

arxiv: 1511.03631 · arxiv_version: 1511.03631v3 · doi: 10.48550/arxiv.1511.03631 · pith_short_12: 6WS7HIPC5QQL · pith_short_16: 6WS7HIPC5QQLKET7 · pith_short_8: 6WS7HIPC

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/6WS7HIPC5QQLKET7NB4Q24GY3M \
  | 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: f5a5f3a1e2ec20b5127f68790d70d8db1bdd4b40cd349d72cd82bfcd3a89d8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aac42c4630259b0cd11a8e5f72277b544ec0bfbdd922b3bb7728763a92f20b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-11T19:58:08Z",
    "title_canon_sha256": "f0b1810545f53ab1c478d5fc6d1b8e69d9b04817473a9970351514415bf2a8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03631",
    "kind": "arxiv",
    "version": 3
  }
}