Pith Number

pith:AAPCK7CO

pith:2026:AAPCK7COFNEH5LRPC6E2MJSFRV

not attested not anchored not stored refs pending

Stein's method in network analysis

A.D. Barbour, Adrian Fischer, Gesine Reinert

arxiv:2606.03442 v1 · 2026-06-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAPCK7COFNEH5LRPC6E2MJSFRV}

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	2026-06-03T01:05:57.917088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001e257c4e2b487eae2f1789a626458d6b25b75651e5ce0a3b12da08d7f2e4bb

Aliases

arxiv: 2606.03442 · arxiv_version: 2606.03442v1 · doi: 10.48550/arxiv.2606.03442 · pith_short_12: AAPCK7COFNEH · pith_short_16: AAPCK7COFNEH5LRP · pith_short_8: AAPCK7CO

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/AAPCK7COFNEH5LRPC6E2MJSFRV \
  | 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: 001e257c4e2b487eae2f1789a626458d6b25b75651e5ce0a3b12da08d7f2e4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c472660f759b2c4675ae5ef1982b66b0a67f5cf3aef7cded76634cafbf0c5b8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-02T10:26:45Z",
    "title_canon_sha256": "8d0307ee0c8683cd85af327f007169291340b8d078ea4f7b30f29de7ac88fc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03442",
    "kind": "arxiv",
    "version": 1
  }
}