Pith Number

pith:CBSSLUPW

pith:2013:CBSSLUPWEVS75MDU3NCJJYVJLK

not attested not anchored not stored refs pending

Degree distribution of shortest path trees and bias of network sampling algorithms

Jesse Goodman, J\'ulia Komj\'athy, Remco van der Hofstad, Shankar Bhamidi

arxiv:1310.5672 v2 · 2013-10-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBSSLUPWEVS75MDU3NCJJYVJLK}

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	2026-05-18T01:09:32.460750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106525d1f62565feb074db4494e2a95ab4f12a6b199bf780d0d9ff4e757c2401

Aliases

arxiv: 1310.5672 · arxiv_version: 1310.5672v2 · doi: 10.48550/arxiv.1310.5672 · pith_short_12: CBSSLUPWEVS7 · pith_short_16: CBSSLUPWEVS75MDU · pith_short_8: CBSSLUPW

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/CBSSLUPWEVS75MDU3NCJJYVJLK \
  | 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: 106525d1f62565feb074db4494e2a95ab4f12a6b199bf780d0d9ff4e757c2401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc9c36f99113184d336dd23b990c11602de729f4ef750e35e983f62158e9261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-21T18:43:56Z",
    "title_canon_sha256": "7c8ac430584990686567dd06871df416cef7d111c6dbdadc40d5201eb8ca34ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5672",
    "kind": "arxiv",
    "version": 2
  }
}