Pith Number

pith:HV7OPT2J

pith:2014:HV7OPT2J4OPI2GPBO52HQBVA5P

not attested not anchored not stored refs pending

Random walk on random infinite looptrees

Jakob E. Bj\"ornberg, Sigurdur \"Orn Stef\'ansson

arxiv:1402.5819 v3 · 2014-02-24 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HV7OPT2J4OPI2GPBO52HQBVA5P}

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	2026-05-18T01:44:29.052777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d7ee7cf49e39e8d19e177747806a0ebc26c7e6ac5ff48aeed77c229bb4a8e37

Aliases

arxiv: 1402.5819 · arxiv_version: 1402.5819v3 · doi: 10.48550/arxiv.1402.5819 · pith_short_12: HV7OPT2J4OPI · pith_short_16: HV7OPT2J4OPI2GPB · pith_short_8: HV7OPT2J

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/HV7OPT2J4OPI2GPBO52HQBVA5P \
  | 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: 3d7ee7cf49e39e8d19e177747806a0ebc26c7e6ac5ff48aeed77c229bb4a8e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56655359226b8e69090b1a525b5b5b71cbe47cd8676537d5bcc5c3c2a5096870",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-24T13:28:24Z",
    "title_canon_sha256": "9dae415b3ba5de50820bd5ebf0a61b8de2d39ed300b3c97742eec427969621ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5819",
    "kind": "arxiv",
    "version": 3
  }
}