Pith Number

pith:VV637KCZ

pith:2011:VV637KCZDBFM7T2VP2U55GLEBH

not attested not anchored not stored refs pending

Crystal energy functions via the charge in types A and C

Anne Schilling, Cristian Lenart

arxiv:1107.4169 v2 · 2011-07-21 · math.CO · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VV637KCZDBFM7T2VP2U55GLEBH}

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	2026-05-18T03:36:16.235621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7dbfa859184acfcf557ea9de996409e9c2fbc7b590f9a5afb28233316f1f79

Aliases

arxiv: 1107.4169 · arxiv_version: 1107.4169v2 · doi: 10.48550/arxiv.1107.4169 · pith_short_12: VV637KCZDBFM · pith_short_16: VV637KCZDBFM7T2V · pith_short_8: VV637KCZ

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/VV637KCZDBFM7T2VP2U55GLEBH \
  | 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: ad7dbfa859184acfcf557ea9de996409e9c2fbc7b590f9a5afb28233316f1f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc271b75f93a43933576fdfe22d24858c7def512fb4c645b3996146b177e501",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-21T05:28:25Z",
    "title_canon_sha256": "9f76f6ef02d131813689e6e79ed75212a4d50f157cbcbe1f325fc281e57f849b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4169",
    "kind": "arxiv",
    "version": 2
  }
}