Pith Number

pith:D7VWEKWC

pith:2009:D7VWEKWCEUYMGYSFIXZBUBV7TR

not attested not anchored not stored refs pending

Real radical initial ideals

Cynthia Vinzant

arxiv:0912.2801 v2 · 2009-12-15 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7VWEKWCEUYMGYSFIXZBUBV7TR}

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	2026-05-18T04:05:27.993383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1feb622ac22530c3624545f21a06bf9c6c4de37b3f0ada2ea4b11636ae7fc12f

Aliases

arxiv: 0912.2801 · arxiv_version: 0912.2801v2 · doi: 10.48550/arxiv.0912.2801 · pith_short_12: D7VWEKWCEUYM · pith_short_16: D7VWEKWCEUYMGYSF · pith_short_8: D7VWEKWC

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/D7VWEKWCEUYMGYSFIXZBUBV7TR \
  | 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: 1feb622ac22530c3624545f21a06bf9c6c4de37b3f0ada2ea4b11636ae7fc12f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679046049a66215a36eee90d9eba149081c653f478a3db512e22c6c94bfa5965",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-15T05:42:38Z",
    "title_canon_sha256": "1478db1faff9be782b3269dfbaa073afef40ee56a775233c13dd795c4363eef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2801",
    "kind": "arxiv",
    "version": 2
  }
}