Pith Number

pith:L6LMEN5F

pith:2015:L6LMEN5FW6S2JLC2CB4YPH3E25

not attested not anchored not stored refs pending

Axiomatizing complete positivity

Chris Heunen (University of Oxford), Oscar Cunningham (University of Oxford)

arxiv:1506.02931 v2 · 2015-06-09 · math.CT · 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{L6LMEN5FW6S2JLC2CB4YPH3E25}

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	2026-05-18T01:27:46.004645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f96c237a5b7a5a4ac5a1079879f64d779f3114e2519d4d34c4eb0f402faa61c

Aliases

arxiv: 1506.02931 · arxiv_version: 1506.02931v2 · doi: 10.48550/arxiv.1506.02931 · pith_short_12: L6LMEN5FW6S2 · pith_short_16: L6LMEN5FW6S2JLC2 · pith_short_8: L6LMEN5F

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/L6LMEN5FW6S2JLC2CB4YPH3E25 \
  | 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: 5f96c237a5b7a5a4ac5a1079879f64d779f3114e2519d4d34c4eb0f402faa61c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7d91e90fc8db3ce94cdc7534eaf82304a2ec9062add83b6617163861c91b91",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-06-09T14:29:24Z",
    "title_canon_sha256": "08a41ae78d72c9face03061895cf9bcff3e59c388deb4fbb0c71b1cc75405c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02931",
    "kind": "arxiv",
    "version": 2
  }
}