Pith Number

pith:FPWRS5TQ

pith:2005:FPWRS5TQWNRDXPUE5M4HKHFZ46

not attested not anchored not stored refs pending

Complex Networks as Hypergraphs

Ernesto Estrada, Juan A. Rodriguez-Velazquez

arxiv:physics/0505137 v1 · 2005-05-19 · 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{FPWRS5TQWNRDXPUE5M4HKHFZ46}

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	2026-05-18T03:29:16.774994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bed197670b3623bbe84eb38751cb9e782a507cdbd0cc32e25247ce93569fa54

Aliases

arxiv: physics/0505137 · arxiv_version: physics/0505137v1 · doi: 10.48550/arxiv.physics/0505137 · pith_short_12: FPWRS5TQWNRD · pith_short_16: FPWRS5TQWNRDXPUE · pith_short_8: FPWRS5TQ

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/FPWRS5TQWNRDXPUE5M4HKHFZ46 \
  | 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: 2bed197670b3623bbe84eb38751cb9e782a507cdbd0cc32e25247ce93569fa54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53ca5b54eb95be7242be0b41d234e988cfbfd0a69c808513d47d0db800078ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2005-05-19T17:42:51Z",
    "title_canon_sha256": "7092fbd40e97762d377182e20d7b552293f878d5f76b9067f4a964154ff9b14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0505137",
    "kind": "arxiv",
    "version": 1
  }
}