Pith Number

pith:DEFWRJ7D

pith:2013:DEFWRJ7D5SVYMMTOLGCLGFVXL4

not attested not anchored not stored refs pending

Complex-valued information entropy measure for networks with directed links (digraphs). Application to citations by community agents with opposite opinions

BE), Giulia Rotundo (U. Tuscia, IT, IT), Marcel Ausloos (Liege, Roma, U. La Sapienza, Viterbo

arxiv:1302.0479 v1 · 2013-02-03 · cond-mat.stat-mech · math-ph · math.MP · 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{DEFWRJ7D5SVYMMTOLGCLGFVXL4}

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	2026-05-18T03:02:17.739834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190b68a7e3ecab86326e5984b316b75f08892ccc1a97ea755853b9a60d717840

Aliases

arxiv: 1302.0479 · arxiv_version: 1302.0479v1 · doi: 10.48550/arxiv.1302.0479 · pith_short_12: DEFWRJ7D5SVY · pith_short_16: DEFWRJ7D5SVYMMTO · pith_short_8: DEFWRJ7D

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/DEFWRJ7D5SVYMMTOLGCLGFVXL4 \
  | 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: 190b68a7e3ecab86326e5984b316b75f08892ccc1a97ea755853b9a60d717840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad76f8b769d788908cced7f0cebb3cfe31d7deaf7a60d2397715a268ce91a88",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-02-03T11:56:33Z",
    "title_canon_sha256": "76ef00242dc89316ab1201f35cde533b7157b6dcf68985ab438873b7527d881c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0479",
    "kind": "arxiv",
    "version": 1
  }
}