Pith Number

pith:XWLRO4S2

pith:2021:XWLRO4S2ETMQTA3HJCOIBCAR34

not attested not anchored not stored refs pending

Identifying vital nodes by Achlioptas process

Linyuan L\"u, Ming Li, Tianlong Fan, Zhihao Qiu

arxiv:2102.12101 v1 · 2021-02-24 · 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{XWLRO4S2ETMQTA3HJCOIBCAR34}

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	2026-07-05T02:27:42.305488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9717725a24d9098367489c808811df27188be7ff3c4b0988a6bfa15d2298c3

Aliases

arxiv: 2102.12101 · arxiv_version: 2102.12101v1 · doi: 10.48550/arxiv.2102.12101 · pith_short_12: XWLRO4S2ETMQ · pith_short_16: XWLRO4S2ETMQTA3H · pith_short_8: XWLRO4S2

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/XWLRO4S2ETMQTA3HJCOIBCAR34 \
  | 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: bd9717725a24d9098367489c808811df27188be7ff3c4b0988a6bfa15d2298c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade0bb3208420b348b026fc17da995a4c19c8224fdfe63ef015328a223e45904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-02-24T07:16:19Z",
    "title_canon_sha256": "972621c4750cb0d4803ab17f350506f124d194171161caedecb9ecd51cb8e3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12101",
    "kind": "arxiv",
    "version": 1
  }
}