Pith Number

pith:ABFMNS5E

pith:2018:ABFMNS5EJIDV6O5IB7PFIWQHR7

not attested not anchored not stored refs pending

Phase transition for the once-excited random walk on general trees

Cong Bang Huynh

arxiv:1812.02331 v3 · 2018-12-05 · 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{ABFMNS5EJIDV6O5IB7PFIWQHR7}

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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

Once-excited random walks on general trees

Receipt and verification

First computed	2026-05-17T23:57:21.118912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004ac6cba44a075f3ba80fde545a078fd5da76ad848a36dbb6c6cedffab559da

Aliases

arxiv: 1812.02331 · arxiv_version: 1812.02331v3 · doi: 10.48550/arxiv.1812.02331 · pith_short_12: ABFMNS5EJIDV · pith_short_16: ABFMNS5EJIDV6O5I · pith_short_8: ABFMNS5E

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/ABFMNS5EJIDV6O5IB7PFIWQHR7 \
  | 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: 004ac6cba44a075f3ba80fde545a078fd5da76ad848a36dbb6c6cedffab559da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29fca67babadb9cfc4a4fec394d27a0518f9bb3e69ea766a511b74db7903503c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-05T07:05:39Z",
    "title_canon_sha256": "a215127168abec0151487e1ef8bd5c072c1ebcc3c8163f684426f208841a83e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02331",
    "kind": "arxiv",
    "version": 3
  }
}