Pith Number

pith:U4IJSJQT

pith:2009:U4IJSJQT6V637AJUZTEFDYFH3J

not attested not anchored not stored refs pending

Rank-dependent deactivation in network evolution

Ming-Chen Zhou, Xin-Jian Xu

arxiv:0912.1400 v1 · 2009-12-08 · 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{U4IJSJQT6V637AJUZTEFDYFH3J}

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	2026-05-18T02:10:25.801455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a710992613f57dbf8134ccc851e0a7da61576ee1ee16cd37e5c22a160463434d

Aliases

arxiv: 0912.1400 · arxiv_version: 0912.1400v1 · doi: 10.48550/arxiv.0912.1400 · pith_short_12: U4IJSJQT6V63 · pith_short_16: U4IJSJQT6V637AJU · pith_short_8: U4IJSJQT

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/U4IJSJQT6V637AJUZTEFDYFH3J \
  | 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: a710992613f57dbf8134ccc851e0a7da61576ee1ee16cd37e5c22a160463434d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f9d5f85ecb714c1626f5e7608e7472f2add69f34b7212b974062b01258e07eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-12-08T03:57:09Z",
    "title_canon_sha256": "96ceb7c2370bfb7b9af539c8d4f15820f7826f481c6f393fd0ea32955ffdeb43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1400",
    "kind": "arxiv",
    "version": 1
  }
}