Pith Number

pith:BF2IRF6X

pith:2019:BF2IRF6X2MVNGZQWINXBVHW7MK

not attested not anchored not stored refs pending

Phase transitions for edge-reinforced random walks on the half-line

Andrea Collevecchio, Jiro Akahori, Masato Takei

arxiv:1905.00138 v1 · 2019-04-30 · 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{BF2IRF6X2MVNGZQWINXBVHW7MK}

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	2026-05-17T23:47:13.607127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09748897d7d32ad36616436e1a9edf628b70b0e25860c79b85e04490573a9380

Aliases

arxiv: 1905.00138 · arxiv_version: 1905.00138v1 · doi: 10.48550/arxiv.1905.00138 · pith_short_12: BF2IRF6X2MVN · pith_short_16: BF2IRF6X2MVNGZQW · pith_short_8: BF2IRF6X

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/BF2IRF6X2MVNGZQWINXBVHW7MK \
  | 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: 09748897d7d32ad36616436e1a9edf628b70b0e25860c79b85e04490573a9380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430905be17611de7f0d742996ea23502d5b35aa89b2ade7126d1af03d6c31546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-30T23:46:12Z",
    "title_canon_sha256": "50052192c13d63d5efc7fba5d69f1ffca1c3dbba108b19c3e85b26c793da9ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00138",
    "kind": "arxiv",
    "version": 1
  }
}