Pith Number

pith:4H33N5W6

pith:2006:4H33N5W6JCSCZACSFJSZCQDSXB

not attested not anchored not stored refs pending

Improvement of the robustness on geographical networks by adding shortcuts

J. Matsukubo, Y. Hayashi

arxiv:physics/0612065 v1 · 2006-12-07 · physics.comp-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4H33N5W6JCSCZACSFJSZCQDSXB}

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	2026-07-04T17:02:50.747126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f7b6f6de48a42c80522a65914072b84769f06ae044433a08171b57823bb0c5

Aliases

arxiv: physics/0612065 · arxiv_version: physics/0612065v1 · doi: 10.48550/arxiv.physics/0612065 · pith_short_12: 4H33N5W6JCSC · pith_short_16: 4H33N5W6JCSCZACS · pith_short_8: 4H33N5W6

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/4H33N5W6JCSCZACSFJSZCQDSXB \
  | 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: e1f7b6f6de48a42c80522a65914072b84769f06ae044433a08171b57823bb0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85242973957d4dbb2716e5c3ce6d26c808dee34e72a3ded10a0da3440254d1d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2006-12-07T01:13:39Z",
    "title_canon_sha256": "11cd5e47a000861c09db78f24ca7940406c85e9dece4d50d556a34bbdc6ee942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0612065",
    "kind": "arxiv",
    "version": 1
  }
}