Pith Number

pith:S4KVLBH7

pith:2011:S4KVLBH7N5QNGIHFHAI7A6ZLOE

not attested not anchored not stored refs pending

Potential Distribution on Random Electrical Networks

Da-Qian Qian, Xiao-Dong Zhang

arxiv:1111.2898 v1 · 2011-11-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4KVLBH7N5QNGIHFHAI7A6ZLOE}

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	2026-05-18T04:08:23.500869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97155584ff6f60d320e53811f07b2b710c8a2e20ff5382ee6abdd4da8a0d7125

Aliases

arxiv: 1111.2898 · arxiv_version: 1111.2898v1 · doi: 10.48550/arxiv.1111.2898 · pith_short_12: S4KVLBH7N5QN · pith_short_16: S4KVLBH7N5QNGIHF · pith_short_8: S4KVLBH7

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/S4KVLBH7N5QNGIHFHAI7A6ZLOE \
  | 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: 97155584ff6f60d320e53811f07b2b710c8a2e20ff5382ee6abdd4da8a0d7125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8041a1b1af4c7c43fddf494966bad151f84e503a076af6d33cb99f342675413a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-12T03:36:15Z",
    "title_canon_sha256": "59cd8d2caaa6c151a82705d12bd64652d21ae5fccc16c036b8c4cb2c569f3296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2898",
    "kind": "arxiv",
    "version": 1
  }
}