Pith Number

pith:V4Q3I4NP

pith:2015:V4Q3I4NPFMTXDC7NDJ5R5DAHFW

not attested not anchored not stored refs pending

New-from-old full dualities via axiomatisation

Brian A. Davey, Jane G. Pitkethly, Ross Willard

arxiv:1511.03001 v2 · 2015-11-10 · math.RA · 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{V4Q3I4NPFMTXDC7NDJ5R5DAHFW}

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	2026-05-18T00:24:53.449652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541

Aliases

arxiv: 1511.03001 · arxiv_version: 1511.03001v2 · doi: 10.48550/arxiv.1511.03001 · pith_short_12: V4Q3I4NPFMTX · pith_short_16: V4Q3I4NPFMTXDC7N · pith_short_8: V4Q3I4NP

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/V4Q3I4NPFMTXDC7NDJ5R5DAHFW \
  | 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: af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78aa5ef7b91e3d5f725e362ee0dd215fc8651a4d6949d250377bbccc27f150ec",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-10T06:36:09Z",
    "title_canon_sha256": "802c60907bf67ab1a891de80e118ef126d9234185f00ecde0454567ce5ae526e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03001",
    "kind": "arxiv",
    "version": 2
  }
}