Pith Number

pith:F5LL4RBK

pith:2025:F5LL4RBKCWDBSGAWR5HHF2FIFK

not attested not anchored not stored refs pending

Phase Transitions for Elephant Random Walks with Two memory Channels

Krishanu Maulik, Parthanil Roy, Tamojit Sadhukhan

arxiv:2509.10225 v1 · 2025-09-12 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5LL4RBKCWDBSGAWR5HHF2FIFK}

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

1 paper in Pith

On Elephant Random Walk with Delayed Amnesia

Receipt and verification

First computed	2026-07-05T12:11:05.227744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f56be442a15861918168f4e72e8a82a8ab7e101d6a8c08030d9b7a6b2a17d93

Aliases

arxiv: 2509.10225 · arxiv_version: 2509.10225v1 · doi: 10.48550/arxiv.2509.10225 · pith_short_12: F5LL4RBKCWDB · pith_short_16: F5LL4RBKCWDBSGAW · pith_short_8: F5LL4RBK

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/F5LL4RBKCWDBSGAWR5HHF2FIFK \
  | 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: 2f56be442a15861918168f4e72e8a82a8ab7e101d6a8c08030d9b7a6b2a17d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3478da1d16cdfbd1060d84a9f19d7a767288a6fdd113d3a50b06356fd186397",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-12T13:16:19Z",
    "title_canon_sha256": "2fabd758dbe016fd51376a2b849cd30c85d866f0c72c9951ef6640e398271dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10225",
    "kind": "arxiv",
    "version": 1
  }
}