Pith Number

pith:WDWISAJN

pith:2016:WDWISAJNIU25ZHLNTK4DCN7RIM

not attested not anchored not stored refs pending

Estimating the Size of a Large Network and its Communities from a Random Sample

Amin Karbasi, Forrest W. Crawford, Lin Chen

arxiv:1610.08473 v1 · 2016-10-26 · stat.ML · cs.SI · 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{WDWISAJNIU25ZHLNTK4DCN7RIM}

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	2026-05-18T01:01:09.356559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ec89012d4535dc9d6d9ab83137f1433330bae5be3c1d8f57739eb67780ddb1

Aliases

arxiv: 1610.08473 · arxiv_version: 1610.08473v1 · doi: 10.48550/arxiv.1610.08473 · pith_short_12: WDWISAJNIU25 · pith_short_16: WDWISAJNIU25ZHLN · pith_short_8: WDWISAJN

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/WDWISAJNIU25ZHLNTK4DCN7RIM \
  | 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: b0ec89012d4535dc9d6d9ab83137f1433330bae5be3c1d8f57739eb67780ddb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebdaba728f931b8277b780adeb9196d790ef5f5f23ef6995aba3ded0d2a0676",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-26T19:26:47Z",
    "title_canon_sha256": "6a012ac0e8f76d2569cbee680711a5d93d6311359853380018c41be71a748b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08473",
    "kind": "arxiv",
    "version": 1
  }
}