Pith Number

pith:N4N4EPP6

pith:2007:N4N4EPP6EFJ563EDEQLFDURVUW

not attested not anchored not stored refs pending

Thermodynamic forces, flows, and Onsager coefficients in complex networks

Agata Fronczak, Janusz A. Holyst, Piotr Fronczak

arxiv:0706.1653 v1 · 2007-06-12 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4N4EPP6EFJ563EDEQLFDURVUW}

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	2026-05-18T02:16:30.208976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1bc23dfe2153df6c83241651d235a5a7c2be5c84c2449888be93687a6c1905

Aliases

arxiv: 0706.1653 · arxiv_version: 0706.1653v1 · doi: 10.48550/arxiv.0706.1653 · pith_short_12: N4N4EPP6EFJ5 · pith_short_16: N4N4EPP6EFJ563ED · pith_short_8: N4N4EPP6

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/N4N4EPP6EFJ563EDEQLFDURVUW \
  | 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: 6f1bc23dfe2153df6c83241651d235a5a7c2be5c84c2449888be93687a6c1905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7ba0ffab3e55c2934c4fe823c69e743ed8a11ddafc0252176a6a814a0acca9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2007-06-12T10:32:21Z",
    "title_canon_sha256": "d95ce3e977a26e38210a44920dc5c4735b68791579435cb74289ecd4c6649862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1653",
    "kind": "arxiv",
    "version": 1
  }
}