Pith Number

pith:OSMIYT3T

pith:2007:OSMIYT3TFGJFG3JXIMXXAJGXIX

not attested not anchored not stored refs pending

The Groebner basis of the ideal of vanishing polynomials

F. Seelisch, G.-M. Greuel, O. Wienand

arxiv:0709.2978 v5 · 2007-09-19 · 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{OSMIYT3TFGJFG3JXIMXXAJGXIX}

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	2026-05-18T04:22:01.249275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74988c4f732992536d37432f7024d745eae7399327502ac37ad04abdd4fbffb4

Aliases

arxiv: 0709.2978 · arxiv_version: 0709.2978v5 · doi: 10.48550/arxiv.0709.2978 · pith_short_12: OSMIYT3TFGJF · pith_short_16: OSMIYT3TFGJFG3JX · pith_short_8: OSMIYT3T

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/OSMIYT3TFGJFG3JXIMXXAJGXIX \
  | 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: 74988c4f732992536d37432f7024d745eae7399327502ac37ad04abdd4fbffb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1d5416ad017facfa035a183ea55cf78329ac66d11d26eddce5a6b59dfdd0e2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2007-09-19T10:40:16Z",
    "title_canon_sha256": "ef8006acda5c33d306357b1aaa2b3d7d8b2d496dd07e1f3bb701785dde7d71ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2978",
    "kind": "arxiv",
    "version": 5
  }
}