Pith Number

pith:FO4QXLSD

pith:2012:FO4QXLSDF6BKFJNUSMQYBB2JSZ

not attested not anchored not stored refs pending

Groebner bases of symmetric ideals

Stefan Steidel

arxiv:1201.5792 v2 · 2012-01-27 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FO4QXLSDF6BKFJNUSMQYBB2JSZ}

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	2026-05-18T03:28:42.987287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb90bae432f82a2a5b493218087499641eb3e69f023c842231146044be8b4f1

Aliases

arxiv: 1201.5792 · arxiv_version: 1201.5792v2 · doi: 10.48550/arxiv.1201.5792 · pith_short_12: FO4QXLSDF6BK · pith_short_16: FO4QXLSDF6BKFJNU · pith_short_8: FO4QXLSD

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/FO4QXLSDF6BKFJNUSMQYBB2JSZ \
  | 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: 2bb90bae432f82a2a5b493218087499641eb3e69f023c842231146044be8b4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a4d24467199daac7aafefb0a936375656f7dc76d87af9a254624e2329868c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-27T15:17:02Z",
    "title_canon_sha256": "81dcd7a5de859f761775c812568638290be3bcc78b537b53843110dfdba3944a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5792",
    "kind": "arxiv",
    "version": 2
  }
}