Pith Number

pith:4ZRPGBVL

pith:2015:4ZRPGBVL763Y5F3O4XU33MXMSJ

not attested not anchored not stored refs pending

The Join of Scale-free Network Models

Bing Yao, Jin Xu, Xiaomin Wang

arxiv:1512.08657 v3 · 2015-12-29 · cs.SI · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZRPGBVL763Y5F3O4XU33MXMSJ}

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	2026-05-18T00:34:00.159789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e662f306abffb78e976ee5e9bdb2ec926977e23428e6e92b0d44432c7194f13d

Aliases

arxiv: 1512.08657 · arxiv_version: 1512.08657v3 · doi: 10.48550/arxiv.1512.08657 · pith_short_12: 4ZRPGBVL763Y · pith_short_16: 4ZRPGBVL763Y5F3O · pith_short_8: 4ZRPGBVL

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/4ZRPGBVL763Y5F3O4XU33MXMSJ \
  | 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: e662f306abffb78e976ee5e9bdb2ec926977e23428e6e92b0d44432c7194f13d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8c14bf0d3d6bf9bf4de806b724db8c69ad4d73aa7bdcb23a0b38d726840567",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2015-12-29T11:29:24Z",
    "title_canon_sha256": "97f9d5c83891c2ba5864dfb54b283f7e6fc05c9fa84030032dabc0a492fd8e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08657",
    "kind": "arxiv",
    "version": 3
  }
}