Pith Number

pith:AH3VH3AO

pith:2014:AH3VH3AO4PEUD2P3YLNKHC2CK6

not attested not anchored not stored refs pending

Separably closed fields and contractive Ore modules

Fran\c{c}oise Point, Luc B\'elair

arxiv:1405.1772 v1 · 2014-05-07 · math.LO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AH3VH3AO4PEUD2P3YLNKHC2CK6}

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	2026-05-18T02:52:22.567060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f753ec0ee3c941e9fbc2daa38b42578c39c96b266273111f6594065900f1ad

Aliases

arxiv: 1405.1772 · arxiv_version: 1405.1772v1 · doi: 10.48550/arxiv.1405.1772 · pith_short_12: AH3VH3AO4PEU · pith_short_16: AH3VH3AO4PEUD2P3 · pith_short_8: AH3VH3AO

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/AH3VH3AO4PEUD2P3YLNKHC2CK6 \
  | 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: 01f753ec0ee3c941e9fbc2daa38b42578c39c96b266273111f6594065900f1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f985daf0bfeb5257944e88c622ca751e36055f0be329269499d7a4d9a32f9f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-05-07T22:57:21Z",
    "title_canon_sha256": "9d468ba8c0500b0e5d75c52cfe0ac5732865377eea98e11bc587e58b97cbe2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1772",
    "kind": "arxiv",
    "version": 1
  }
}