Pith Number

pith:U2AAFNYA

pith:2013:U2AAFNYA3I2ZSJ7GMEXFRAMB6K

not attested not anchored not stored refs pending

Tensor products of valued fields

Ita\"i Ben Yaacov (ICJ)

arxiv:1302.1381 v3 · 2013-02-06 · math.AC · 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{U2AAFNYA3I2ZSJ7GMEXFRAMB6K}

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	2026-05-18T01:53:09.898417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68002b700da359927e6612e588181f2a888d79e20bc438b0b9a272dbbf895fb

Aliases

arxiv: 1302.1381 · arxiv_version: 1302.1381v3 · doi: 10.48550/arxiv.1302.1381 · pith_short_12: U2AAFNYA3I2Z · pith_short_16: U2AAFNYA3I2ZSJ7G · pith_short_8: U2AAFNYA

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/U2AAFNYA3I2ZSJ7GMEXFRAMB6K \
  | 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: a68002b700da359927e6612e588181f2a888d79e20bc438b0b9a272dbbf895fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab769989cb020007388c0dfa686c83ac70ad63af697e490ac42dfb24a71a5f7",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-06T14:23:35Z",
    "title_canon_sha256": "44e87b40fa322feb14c590064933f05d8f45a129716d931413b6dd77b17eeff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1381",
    "kind": "arxiv",
    "version": 3
  }
}