Pith Number

pith:B3AWLVVS

pith:2014:B3AWLVVSUKCCFR744LOCJOZCL3

not attested not anchored not stored refs pending

Markov chains, $\mathscr R$-trivial monoids and representation theory

Anne Schilling, Arvind Ayyer, Benjamin Steinberg, Nicolas M. Thiery

arxiv:1401.4250 v4 · 2014-01-17 · math.CO · math.GR · math.PR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3AWLVVSUKCCFR744LOCJOZCL3}

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	2026-05-18T02:20:12.700488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec165d6b2a28422c7fce2dc24bb225eeb656065e512016609b6d3d3388911b0

Aliases

arxiv: 1401.4250 · arxiv_version: 1401.4250v4 · doi: 10.48550/arxiv.1401.4250 · pith_short_12: B3AWLVVSUKCC · pith_short_16: B3AWLVVSUKCCFR74 · pith_short_8: B3AWLVVS

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/B3AWLVVSUKCCFR744LOCJOZCL3 \
  | 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: 0ec165d6b2a28422c7fce2dc24bb225eeb656065e512016609b6d3d3388911b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9922859e3ea951b77766bdfeffadcba06a7b65e273baf4a57f61195a6676b5fa",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-17T06:32:06Z",
    "title_canon_sha256": "3952e7810500eb3e42afff72b722f22bdc7a09abf9f5b140949b9b15fc170158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4250",
    "kind": "arxiv",
    "version": 4
  }
}