Pith Number

pith:ANLZNH4T

pith:2013:ANLZNH4TU2MSZMXWW2LSJXYIBH

not attested not anchored not stored refs pending

Note on the Grothendieck group of subspaces of rational functions and Shokurov's b-divisors

A. G. Khovanskii, Kiumars Kaveh

arxiv:1302.2402 v1 · 2013-02-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANLZNH4TU2MSZMXWW2LSJXYIBH}

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	2026-05-18T03:34:01.257556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0357969f93a6992cb2f6b69724df0809cb0ad58620468e9fac0d4ec5946af488

Aliases

arxiv: 1302.2402 · arxiv_version: 1302.2402v1 · doi: 10.48550/arxiv.1302.2402 · pith_short_12: ANLZNH4TU2MS · pith_short_16: ANLZNH4TU2MSZMXW · pith_short_8: ANLZNH4T

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/ANLZNH4TU2MSZMXWW2LSJXYIBH \
  | 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: 0357969f93a6992cb2f6b69724df0809cb0ad58620468e9fac0d4ec5946af488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "533807ba7e919e37205f73fa4162f613f6a63c0fc5d08c284e6f26a7356681bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-11T06:17:41Z",
    "title_canon_sha256": "ec46d2ad3e16f17a689aa9f23773c69fe5df01a38633efaa4c9df75f7e720477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2402",
    "kind": "arxiv",
    "version": 1
  }
}