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Pith Number

pith:A6C4WIP2

pith:2011:A6C4WIP27U4WUHKI65TV3UQQSH
not attested not anchored not stored refs pending

Connecting boundary and interior - "Gauss's law" for graphs

Ching King Chan, Kwok Yip Szeto

arxiv:1101.5383 v1 · 2011-01-27 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A6C4WIP27U4WUHKI65TV3UQQSH}

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 2026-05-18T02:22:42.392925Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0785cb21fafd396a1d48f7675dd21091ec79aaa2b9754621c8b25273840efaae

Aliases

arxiv: 1101.5383 · arxiv_version: 1101.5383v1 · doi: 10.48550/arxiv.1101.5383 · pith_short_12: A6C4WIP27U4W · pith_short_16: A6C4WIP27U4WUHKI · pith_short_8: A6C4WIP2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A6C4WIP27U4WUHKI65TV3UQQSH \
  | 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: 0785cb21fafd396a1d48f7675dd21091ec79aaa2b9754621c8b25273840efaae
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dca3e01e28ccc492e8b637c2aead7c018256ac9018388bbdab3c3b212ca84704",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-27T20:24:07Z",
    "title_canon_sha256": "5b1e6f7d8bd115832ee444e34cc4dd4187ea23baa05e21eb0e849813b81ffc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5383",
    "kind": "arxiv",
    "version": 1
  }
}