Pith Number

pith:S25VYWAB

pith:2013:S25VYWABGQ5PJXM5LQDPXKMAW6

not attested not anchored not stored refs pending

Regular sequences and random walks in affine buildings

James Parkinson, Wolfgang Woess

arxiv:1308.5120 v2 · 2013-08-23 · 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{S25VYWABGQ5PJXM5LQDPXKMAW6}

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	2026-05-18T02:43:26.307990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96bb5c5801343af4dd9d5c06fba980b793ebff9747f132e6e95a573377765324

Aliases

arxiv: 1308.5120 · arxiv_version: 1308.5120v2 · doi: 10.48550/arxiv.1308.5120 · pith_short_12: S25VYWABGQ5P · pith_short_16: S25VYWABGQ5PJXM5 · pith_short_8: S25VYWAB

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/S25VYWABGQ5PJXM5LQDPXKMAW6 \
  | 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: 96bb5c5801343af4dd9d5c06fba980b793ebff9747f132e6e95a573377765324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0bed104c4890eb878718f1218dbba1fdc090cb652ff355c9d6e65342b22889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-23T13:06:38Z",
    "title_canon_sha256": "9c2e3deb7e03a3b9259a8d8f892f8f3a90ca18b3331571e0f55ed77140acc41b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5120",
    "kind": "arxiv",
    "version": 2
  }
}