Pith Number

pith:YT22BNGN

pith:2005:YT22BNGNWCXUY2EUSQTRU7YR3Y

not attested not anchored not stored refs pending

Abrupt structural transitions involving functionally optimal networks

Douglas J. Ashton, Mark Fricker, Neil F. Johnson, Timothy C. Jarrett

arxiv:physics/0508228 v1 · 2005-08-31 · physics.soc-ph · cond-mat.other · cond-mat.soft · q-bio.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT22BNGNWCXUY2EUSQTRU7YR3Y}

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	2026-05-18T01:05:08.351905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f5a0b4cdb0af4c689494271a7f11de2a18250a9776bf3a678e51232711892e

Aliases

arxiv: physics/0508228 · arxiv_version: physics/0508228v1 · doi: 10.48550/arxiv.physics/0508228 · pith_short_12: YT22BNGNWCXU · pith_short_16: YT22BNGNWCXUY2EU · pith_short_8: YT22BNGN

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/YT22BNGNWCXUY2EUSQTRU7YR3Y \
  | 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: c4f5a0b4cdb0af4c689494271a7f11de2a18250a9776bf3a678e51232711892e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a69d96eff4223409b76371c5e30cc0e8961c70cf014a08a45fd87b6f701cd1f",
    "cross_cats_sorted": [
      "cond-mat.other",
      "cond-mat.soft",
      "q-bio.OT"
    ],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2005-08-31T18:22:58Z",
    "title_canon_sha256": "0ddc64d695cdd8bdddfd03749d191d9d94150daa155c2a1a949d725208f1a17d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0508228",
    "kind": "arxiv",
    "version": 1
  }
}