Pith Number

pith:LIEGP3Q6

pith:2012:LIEGP3Q6Z2PX7KBLPVYEYJOCIW

not attested not anchored not stored refs pending

Potential Theory for Directed Networks

Linyuan L\"u, Qian-Ming Zhang, Tao Zhou, Wen-Qiang Wang, Yu-Xiao Zhu

arxiv:1202.2709 v2 · 2012-02-13 · physics.data-an · cs.IR · cs.SI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIEGP3Q6Z2PX7KBLPVYEYJOCIW}

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	2026-05-18T03:17:12.109016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0867ee1ece9f7fa82b7d704c25c245ae4ffbfba083f093b67c9a2ec94146da

Aliases

arxiv: 1202.2709 · arxiv_version: 1202.2709v2 · doi: 10.48550/arxiv.1202.2709 · pith_short_12: LIEGP3Q6Z2PX · pith_short_16: LIEGP3Q6Z2PX7KBL · pith_short_8: LIEGP3Q6

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/LIEGP3Q6Z2PX7KBLPVYEYJOCIW \
  | 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: 5a0867ee1ece9f7fa82b7d704c25c245ae4ffbfba083f093b67c9a2ec94146da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6603fd4c6327d936744abfbee1bb6f7cc9577a1d24f578104bc8ebc9df8c44e8",
    "cross_cats_sorted": [
      "cs.IR",
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2012-02-13T12:35:34Z",
    "title_canon_sha256": "0f2a5f8facdd25b0177864553b150d8278478cfd16085e132153fdb06a20043e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2709",
    "kind": "arxiv",
    "version": 2
  }
}