Pith Number

pith:FE6CVGIH

pith:2013:FE6CVGIH5UYUT3STFQEO2N762K

not attested not anchored not stored refs pending

The vanishing ideal of a finite set of points with multiplicity structures

Na Lei, Xiaopeng Zheng, Yuxue Ren

arxiv:1301.4630 v1 · 2013-01-20 · 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{FE6CVGIH5UYUT3STFQEO2N762K}

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	2026-05-18T03:35:56.102017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

293c2a9907ed3149ee532c08ed37fed2bc12695137d7eb263ef5351efc4a6d92

Aliases

arxiv: 1301.4630 · arxiv_version: 1301.4630v1 · doi: 10.48550/arxiv.1301.4630 · pith_short_12: FE6CVGIH5UYU · pith_short_16: FE6CVGIH5UYUT3ST · pith_short_8: FE6CVGIH

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/FE6CVGIH5UYUT3STFQEO2N762K \
  | 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: 293c2a9907ed3149ee532c08ed37fed2bc12695137d7eb263ef5351efc4a6d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2757e6cc32b98230b3c28023a6fba982b699c8ac6675834ac6dbc363be2bc5e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-20T06:17:02Z",
    "title_canon_sha256": "f3e86154f1a80ac2544f3754bb8ddd6041092259bdf231c493ddaa437dc44c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4630",
    "kind": "arxiv",
    "version": 1
  }
}