Pith Number

pith:NHSGNTUO

pith:2008:NHSGNTUORM6TF33GHQLI7RR2TO

not attested not anchored not stored refs pending

De Morgan's law and the theory of fields

Olivia Caramello, Peter Johnstone

arxiv:0808.1972 v1 · 2008-08-14 · math.CT · 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{NHSGNTUORM6TF33GHQLI7RR2TO}

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	2026-05-18T03:27:11.785809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e466ce8e8b3d32ef663c168fc63a9b9ee43e98f952deca7751dfa3303d99bf

Aliases

arxiv: 0808.1972 · arxiv_version: 0808.1972v1 · doi: 10.48550/arxiv.0808.1972 · pith_short_12: NHSGNTUORM6T · pith_short_16: NHSGNTUORM6TF33G · pith_short_8: NHSGNTUO

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/NHSGNTUORM6TF33GHQLI7RR2TO \
  | 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: 69e466ce8e8b3d32ef663c168fc63a9b9ee43e98f952deca7751dfa3303d99bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf6d3cce67bc4085871f7cb1f9a6f899280a95daac4ee3da21a64ed08e69004",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-08-14T10:44:48Z",
    "title_canon_sha256": "cf16567d8ea3591dd7f379db4a2d01489b0688eaa8e6566615e039c4d5515aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1972",
    "kind": "arxiv",
    "version": 1
  }
}