Pith Number

pith:VAW2CAPC

pith:2011:VAW2CAPCKECU6XORTW4BORG2PQ

not attested not anchored not stored refs pending

Toric orbifolds associated to Cartan matrices

Mark Blume

arxiv:1110.2761 v4 · 2011-10-12 · 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{VAW2CAPCKECU6XORTW4BORG2PQ}

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	2026-05-18T01:25:40.122217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82da101e251054f5dd19db81744da7c3fc8020c74655b11e7c79f83f103731e

Aliases

arxiv: 1110.2761 · arxiv_version: 1110.2761v4 · doi: 10.48550/arxiv.1110.2761 · pith_short_12: VAW2CAPCKECU · pith_short_16: VAW2CAPCKECU6XOR · pith_short_8: VAW2CAPC

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/VAW2CAPCKECU6XORTW4BORG2PQ \
  | 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: a82da101e251054f5dd19db81744da7c3fc8020c74655b11e7c79f83f103731e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c5d161a546840049074c053bb25fe35ec5eaf9ba595b0efc316d3a77d7cd06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-12T19:02:57Z",
    "title_canon_sha256": "5873c0c03a12d57b15c4522a4630c12bff645afa67f27ff4fe33ae18de04f1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2761",
    "kind": "arxiv",
    "version": 4
  }
}