Pith Number

pith:7E2537DQ

pith:2017:7E2537DQTGUIPNZXF47SOZVOAO

not attested not anchored not stored refs pending

Random walks on the discrete affine group

J\'er\'emie Brieussel, Ryokichi Tanaka, Tianyi Zheng

arxiv:1703.07741 v2 · 2017-03-22 · math.GR · 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{7E2537DQTGUIPNZXF47SOZVOAO}

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	2026-05-18T00:31:58.930447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f935ddfc7099a887b7372f3f2766ae03ae7885c5e0feffa3703356b1c92d309d

Aliases

arxiv: 1703.07741 · arxiv_version: 1703.07741v2 · doi: 10.48550/arxiv.1703.07741 · pith_short_12: 7E2537DQTGUI · pith_short_16: 7E2537DQTGUIPNZX · pith_short_8: 7E2537DQ

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/7E2537DQTGUIPNZXF47SOZVOAO \
  | 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: f935ddfc7099a887b7372f3f2766ae03ae7885c5e0feffa3703356b1c92d309d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bdd7f7e43dd1fce3df5ed0aebe4826cddb1f4efd1eb9ced23809aabd69ece1d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-22T16:44:13Z",
    "title_canon_sha256": "3e1604b72bee8074775aa5ba92e3595000f1d753b3f26c42f3203d2c82666d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07741",
    "kind": "arxiv",
    "version": 2
  }
}