Pith Number

pith:7A7KUDHY

pith:2018:7A7KUDHYJ55GEADIGFD3DS43SW

not attested not anchored not stored refs pending

On the Distribution of Range for Tree-Indexed Random Walks

Aaron Berger, Caleb Ji, Erik Metz

arxiv:1808.04261 v2 · 2018-08-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7A7KUDHYJ55GEADIGFD3DS43SW}

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	2026-05-17T23:55:29.072367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83eaa0cf84f7a6200683147b1cb9b95a9f449083a84e3465dcf061558b47dd6

Aliases

arxiv: 1808.04261 · arxiv_version: 1808.04261v2 · doi: 10.48550/arxiv.1808.04261 · pith_short_12: 7A7KUDHYJ55G · pith_short_16: 7A7KUDHYJ55GEADI · pith_short_8: 7A7KUDHY

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/7A7KUDHYJ55GEADIGFD3DS43SW \
  | 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: f83eaa0cf84f7a6200683147b1cb9b95a9f449083a84e3465dcf061558b47dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7625ce94c5a771d8d752c1487f73784c9707d3a5ec7d7ea3553a682cc2f4d2a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-13T14:23:28Z",
    "title_canon_sha256": "b96f4f3eddeed53b37b666a9a8ba822f3e3366c99491e949620df8dd51719ba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04261",
    "kind": "arxiv",
    "version": 2
  }
}