Pith Number

pith:UHFNQMHA

pith:2013:UHFNQMHAF2F35JYAN4CU2MXLHO

not attested not anchored not stored refs pending

Around multivariate Schmidt-Spitzer theorem

Boris Shapiro, Per Alexandersson

arxiv:1302.3716 v1 · 2013-02-15 · 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{UHFNQMHAF2F35JYAN4CU2MXLHO}

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	2026-05-18T01:24:33.488549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1cad830e02e8bbea7006f054d32eb3bba1818be4f206d463efecd0e21867ffa

Aliases

arxiv: 1302.3716 · arxiv_version: 1302.3716v1 · doi: 10.48550/arxiv.1302.3716 · pith_short_12: UHFNQMHAF2F3 · pith_short_16: UHFNQMHAF2F35JYA · pith_short_8: UHFNQMHA

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/UHFNQMHAF2F35JYAN4CU2MXLHO \
  | 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: a1cad830e02e8bbea7006f054d32eb3bba1818be4f206d463efecd0e21867ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b5826c90065b4e617c2aa73509ef98a10c8f5f435438f374281ff904051011",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-15T10:18:42Z",
    "title_canon_sha256": "eca698007db008f4366febfbe57560df4aac347e07a8e553daa075b69f811c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3716",
    "kind": "arxiv",
    "version": 1
  }
}