Pith Number

pith:HJRNQTWY

pith:2013:HJRNQTWYSQKGP5JGCZYF6X7NLM

not attested not anchored not stored refs pending

Stationary random metrics on hierarchical graphs via $(\min,+)$-type recursive distributional equations

Michele Triestino, Mikhail Khristoforov, Victor Kleptsyn

arxiv:1310.6116 v2 · 2013-10-23 · math.PR · math-ph · math.DS · 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{HJRNQTWYSQKGP5JGCZYF6X7NLM}

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	2026-05-18T01:33:16.866791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a62d84ed8941467f52616705f5fed5b33158f95dceba139c570c2716576fc54

Aliases

arxiv: 1310.6116 · arxiv_version: 1310.6116v2 · doi: 10.48550/arxiv.1310.6116 · pith_short_12: HJRNQTWYSQKG · pith_short_16: HJRNQTWYSQKGP5JG · pith_short_8: HJRNQTWY

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/HJRNQTWYSQKGP5JGCZYF6X7NLM \
  | 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: 3a62d84ed8941467f52616705f5fed5b33158f95dceba139c570c2716576fc54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4abb31fada6091d25140da92d98480f716499ac1d4b558059d3e71e8d3ba38d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-23T05:55:17Z",
    "title_canon_sha256": "f8bdc65c87e1608707f75eb813f0317acc9c4649fb17fecf43485809361fb0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6116",
    "kind": "arxiv",
    "version": 2
  }
}