Pith Number

pith:IEBUNNTH

pith:2010:IEBUNNTHJG5ZTE3W3Z3PV7HXZP

not attested not anchored not stored refs pending

An improvement upon unmixed decomposition of an algebraic variety

Yongbin Li, Zhenyi Ji

arxiv:1012.1190 v1 · 2010-12-06 · math.AC · 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{IEBUNNTHJG5ZTE3W3Z3PV7HXZP}

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	2026-05-18T04:34:01.725829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

410346b66749bb999376de76fafcf7cbc9145b5d0bd8e58745946e2c2f9db5f7

Aliases

arxiv: 1012.1190 · arxiv_version: 1012.1190v1 · doi: 10.48550/arxiv.1012.1190 · pith_short_12: IEBUNNTHJG5Z · pith_short_16: IEBUNNTHJG5ZTE3W · pith_short_8: IEBUNNTH

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/IEBUNNTHJG5ZTE3W3Z3PV7HXZP \
  | 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: 410346b66749bb999376de76fafcf7cbc9145b5d0bd8e58745946e2c2f9db5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160403326fac7ba89e3da5e1e5056fff2a4d1aec189b7af439fddca03fe84dff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-06T14:52:02Z",
    "title_canon_sha256": "6778d45326c9f4a88b8338c90aae010b5f92d24e44863a782a0cd06b47d20cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1190",
    "kind": "arxiv",
    "version": 1
  }
}