Pith Number

pith:FUK2QLFK

pith:2012:FUK2QLFKDDKENPGLYK55IGMGZC

not attested not anchored not stored refs pending

Root polytopes and abelian ideals

Mario Marietti, Paola Cellini

arxiv:1207.3429 v2 · 2012-07-14 · 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{FUK2QLFKDDKENPGLYK55IGMGZC}

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	2026-05-18T02:54:12.939298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d15a82caa18d446bccbc2bbd41986c8ad21e0deb45dcddf8b278800eda80837

Aliases

arxiv: 1207.3429 · arxiv_version: 1207.3429v2 · doi: 10.48550/arxiv.1207.3429 · pith_short_12: FUK2QLFKDDKE · pith_short_16: FUK2QLFKDDKENPGL · pith_short_8: FUK2QLFK

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/FUK2QLFKDDKENPGLYK55IGMGZC \
  | 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: 2d15a82caa18d446bccbc2bbd41986c8ad21e0deb45dcddf8b278800eda80837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f852cc71c1be7425e5198852025abe405fa464ae233029ee88010de534023543",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-14T15:02:49Z",
    "title_canon_sha256": "59e199c232d2eadea92df455881a0e3073d3c72237a9b7fc48f2efa200ed1ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3429",
    "kind": "arxiv",
    "version": 2
  }
}