Pith Number

pith:4YIN2JGP

pith:2026:4YIN2JGPWHR4BSO7PJLXUEOQLJ

not attested not anchored not stored refs pending

Graph reconstruction from random-walk co-visitation: Geometric, empirical, and controlled networks

Kre\v{s}imir Tisani\'c, Marko Imbri\v{s}ak

arxiv:2608.05385 v1 · 2026-08-05 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YIN2JGPWHR4BSO7PJLXUEOQLJ}

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	2026-08-07T00:47:33.860273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e610dd24cfb1e3c0c9df7a577a11d05a480d08adabc8aa6638aa94e420716c0e

Aliases

arxiv: 2608.05385 · arxiv_version: 2608.05385v1 · doi: 10.48550/arxiv.2608.05385 · pith_short_12: 4YIN2JGPWHR4 · pith_short_16: 4YIN2JGPWHR4BSO7 · pith_short_8: 4YIN2JGP

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/4YIN2JGPWHR4BSO7PJLXUEOQLJ \
  | 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: e610dd24cfb1e3c0c9df7a577a11d05a480d08adabc8aa6638aa94e420716c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "507cdab72b6be62c65ba60bbf0a8eeb36246c545bd1dcd7dcdcb532cb023bd48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-08-05T20:10:03Z",
    "title_canon_sha256": "475d5c48a289fe947edf85d6619644b8a9c153183c8a08e05c30cc2782ceaa19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05385",
    "kind": "arxiv",
    "version": 1
  }
}