Pith Number

pith:BTJ2MLEZ

pith:2026:BTJ2MLEZKXSNT3Z7UT5O5TUH47

not attested not anchored not stored refs pending

Limit behavior of linearly edge-reinforced random walks on the half-line

Li Wang, Renming Song, Zechun Hu

arxiv:2601.15627 v2 · 2026-01-22 · 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{BTJ2MLEZKXSNT3Z7UT5O5TUH47}

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	2026-06-23T02:12:46.027556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd3a62c9955e4d9ef3fa4faeece87e7e7ecdbcec83d4f582d4ba5d0cdab0542

Aliases

arxiv: 2601.15627 · arxiv_version: 2601.15627v2 · doi: 10.48550/arxiv.2601.15627 · pith_short_12: BTJ2MLEZKXSN · pith_short_16: BTJ2MLEZKXSNT3Z7 · pith_short_8: BTJ2MLEZ

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/BTJ2MLEZKXSNT3Z7UT5O5TUH47 \
  | 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: 0cd3a62c9955e4d9ef3fa4faeece87e7e7ecdbcec83d4f582d4ba5d0cdab0542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026f0fa0bee821e82d446461ac3eea3d48a89260afa10017d20e7f68b3b531bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-01-22T03:58:14Z",
    "title_canon_sha256": "ea288d65bfb198dc6712030c52ee39247b44d26706604ccc2f048e84bcc47d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15627",
    "kind": "arxiv",
    "version": 2
  }
}