Pith Number

pith:WQUK2MPD

pith:2025:WQUK2MPDJPH6IK2ITADIJWHFJM

not attested not anchored not stored refs pending

Elephant Random Walk with multiple extractions

Simone Franchini

arxiv:2507.06478 v1 · 2025-07-09 · 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{WQUK2MPDJPH6IK2ITADIJWHFJM}

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.

Cited by

2 papers in Pith

Lattice Field Theory for a network of real neurons

Elephant random walk with attributed steps and extractions of random sizes

Receipt and verification

First computed	2026-07-05T11:34:16.698427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b428ad31e34bcfe42b48980684d8e54b2df8d3a57447d8513b56b284eabef917

Aliases

arxiv: 2507.06478 · arxiv_version: 2507.06478v1 · doi: 10.48550/arxiv.2507.06478 · pith_short_12: WQUK2MPDJPH6 · pith_short_16: WQUK2MPDJPH6IK2I · pith_short_8: WQUK2MPD

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/WQUK2MPDJPH6IK2ITADIJWHFJM \
  | 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: b428ad31e34bcfe42b48980684d8e54b2df8d3a57447d8513b56b284eabef917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aceecc846327d55ebacae3eeec5095e75d431b0bffe453856bca919dc88aad48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-09T01:53:05Z",
    "title_canon_sha256": "6f06c8fa4d7cda80da515b5e6bc9dac2243a93f6440cd91ac2760093826c56a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06478",
    "kind": "arxiv",
    "version": 1
  }
}