Pith Number

pith:FKVI5ADK

pith:2016:FKVI5ADKX2O4C44SDFMPNPKBVB

not attested not anchored not stored refs pending

Random walks on the BMW monoid: an algebraic approach

Sarah Wolff

arxiv:1605.05136 v2 · 2016-05-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKVI5ADKX2O4C44SDFMPNPKBVB}

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	2026-05-18T01:13:10.910500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aaa8e806abe9dc173921958f6bd41a85839114da3ba0dcf771b585198368502

Aliases

arxiv: 1605.05136 · arxiv_version: 1605.05136v2 · doi: 10.48550/arxiv.1605.05136 · pith_short_12: FKVI5ADKX2O4 · pith_short_16: FKVI5ADKX2O4C44S · pith_short_8: FKVI5ADK

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/FKVI5ADKX2O4C44SDFMPNPKBVB \
  | 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: 2aaa8e806abe9dc173921958f6bd41a85839114da3ba0dcf771b585198368502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdeb04d35b96cbb9eace2a0bb611278245e235906f818ecb981a003da0b20149",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-17T12:39:38Z",
    "title_canon_sha256": "b78fcbd8928b2fdc384974ad0afcc47794f6fcf004e01487a7ddb9e2b230157e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05136",
    "kind": "arxiv",
    "version": 2
  }
}