Pith Number

pith:TWCXBZXQ

pith:2013:TWCXBZXQUTDAHRSWS3X4PDNKCH

not attested not anchored not stored refs pending

Conditioned random walks from Kac-Moody root systems

C\'edric Lecouvey (LMPT), Emmanuel Lesigne (LMPT), Marc Peign\'e (LMPT)

arxiv:1306.3082 v3 · 2013-06-13 · math.CO · math.PR · 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{TWCXBZXQUTDAHRSWS3X4PDNKCH}

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	2026-05-18T03:04:06.472178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8570e6f0a4c603c65696efc78daa11e1982978c8d76a301e94c83b7dfb2164

Aliases

arxiv: 1306.3082 · arxiv_version: 1306.3082v3 · doi: 10.48550/arxiv.1306.3082 · pith_short_12: TWCXBZXQUTDA · pith_short_16: TWCXBZXQUTDAHRSW · pith_short_8: TWCXBZXQ

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/TWCXBZXQUTDAHRSWS3X4PDNKCH \
  | 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: 9d8570e6f0a4c603c65696efc78daa11e1982978c8d76a301e94c83b7dfb2164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055cd408205d0ec6704082e5c0c794f103227bb444a896495026763f10d44409",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-13T11:22:30Z",
    "title_canon_sha256": "2c3865db318179b7e9609cb274211cbf5cd3127bfc56d211bbf6839c28629416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3082",
    "kind": "arxiv",
    "version": 3
  }
}