Pith Number

pith:U4BLIEG5

pith:2012:U4BLIEG5AVRBVBZDIEUDM2OZDH

not attested not anchored not stored refs pending

Sparse Difference Resultant

Chun-Ming Yuan, Wei Li, Xiao-Shan Gao

arxiv:1212.3090 v2 · 2012-12-13 · cs.SC · 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{U4BLIEG5AVRBVBZDIEUDM2OZDH}

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	2026-05-18T03:12:33.149201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a702b410dd05621a872341283669d919fe639e6cda8de9c7d46c505f1f5a0cb3

Aliases

arxiv: 1212.3090 · arxiv_version: 1212.3090v2 · doi: 10.48550/arxiv.1212.3090 · pith_short_12: U4BLIEG5AVRB · pith_short_16: U4BLIEG5AVRBVBZD · pith_short_8: U4BLIEG5

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/U4BLIEG5AVRBVBZDIEUDM2OZDH \
  | 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: a702b410dd05621a872341283669d919fe639e6cda8de9c7d46c505f1f5a0cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dc8f5c83d0d29f574b192d481ddbdb6d557e0584f5b0dcd9b2bcdcf3091502",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2012-12-13T09:02:32Z",
    "title_canon_sha256": "3c72798ee63d25368cc3564080221cd835c74a6be10cd54dd99e14f12a54c711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3090",
    "kind": "arxiv",
    "version": 2
  }
}