Pith Number

pith:PBMKIFJO

pith:2016:PBMKIFJOGJ3K5ERIPJAVPF5QVO

not attested not anchored not stored refs pending

Stationary state of a zero-range process corresponding to multifractal one-particle distribution

Hiroshi Miki

arxiv:1609.03237 v1 · 2016-09-12 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBMKIFJOGJ3K5ERIPJAVPF5QVO}

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	2026-05-18T01:04:47.419867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7858a4152e3276ae92287a415797b0ab96cb3b2253c9239b3662bdb3b8c84e7c

Aliases

arxiv: 1609.03237 · arxiv_version: 1609.03237v1 · doi: 10.48550/arxiv.1609.03237 · pith_short_12: PBMKIFJOGJ3K · pith_short_16: PBMKIFJOGJ3K5ERI · pith_short_8: PBMKIFJO

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/PBMKIFJOGJ3K5ERIPJAVPF5QVO \
  | 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: 7858a4152e3276ae92287a415797b0ab96cb3b2253c9239b3662bdb3b8c84e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c79abe6279e584d5c9c9374ea50c9f8d1f340633b035f34c911438583e4048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-09-12T00:52:27Z",
    "title_canon_sha256": "f6fff88b96634a1b8d149ce516c2292e8945dbeec90952064373f13f899131b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03237",
    "kind": "arxiv",
    "version": 1
  }
}