Pith Number

pith:4XRMXBNU

pith:2011:4XRMXBNUBVYXEDA2MUI74VNVBK

not attested not anchored not stored refs pending

Excursions into Algebra and Combinatorics at $q=0$

Tom Denton

arxiv:1108.4379 v1 · 2011-08-22 · math.RT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XRMXBNUBVYXEDA2MUI74VNVBK}

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	2026-05-18T03:57:24.937920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e2cb85b40d71720c1a6511fe55b50aa5f62bbbca1e798545ef3779a8009389

Aliases

arxiv: 1108.4379 · arxiv_version: 1108.4379v1 · doi: 10.48550/arxiv.1108.4379 · pith_short_12: 4XRMXBNUBVYX · pith_short_16: 4XRMXBNUBVYXEDA2 · pith_short_8: 4XRMXBNU

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/4XRMXBNUBVYXEDA2MUI74VNVBK \
  | 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: e5e2cb85b40d71720c1a6511fe55b50aa5f62bbbca1e798545ef3779a8009389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9559c05dd407dc805125ffb9c193e69eec63a65923df7043173b93a9f2d95c",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-22T17:05:05Z",
    "title_canon_sha256": "7bcf6067567e46a89e295e56c2dc5427e8dfa0ae5e6f2e02c81e46d0db636f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4379",
    "kind": "arxiv",
    "version": 1
  }
}