Pith Number

pith:ZENBNVIL

pith:2012:ZENBNVIL5GZSWIMKPOAI2J2LSY

not attested not anchored not stored refs pending

On root posets for noncrystallographic root systems

Christian Stump, Michael Cuntz

arxiv:1212.2876 v1 · 2012-12-12 · 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{ZENBNVIL5GZSWIMKPOAI2J2LSY}

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	2026-05-18T03:38:35.064961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91a16d50be9b32b218a7b808d274b963d84e8f4cd37e099a5ac3e9465e946c9

Aliases

arxiv: 1212.2876 · arxiv_version: 1212.2876v1 · doi: 10.48550/arxiv.1212.2876 · pith_short_12: ZENBNVIL5GZS · pith_short_16: ZENBNVIL5GZSWIMK · pith_short_8: ZENBNVIL

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/ZENBNVIL5GZSWIMKPOAI2J2LSY \
  | 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: c91a16d50be9b32b218a7b808d274b963d84e8f4cd37e099a5ac3e9465e946c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3a43c47dc2b8c56a43db0ae3524932c839273ff7defb96e1e443606ef782b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-12T16:40:19Z",
    "title_canon_sha256": "5432de81451fb5e8b61e3b0f7aba152e899ffccba7de2bdddb8a22f00d4cdd5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2876",
    "kind": "arxiv",
    "version": 1
  }
}