Pith Number

pith:6G35XIS5

pith:2016:6G35XIS5LWPYKBBPE7FAQ5XUCA

not attested not anchored not stored refs pending

Emergence of the giant weak-component in directed random graphs with arbitrary degree distributions

Ivan Kryven

arxiv:1607.03793 v1 · 2016-07-13 · math.CO · 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{6G35XIS5LWPYKBBPE7FAQ5XUCA}

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	2026-05-18T01:10:23.120691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b7dba25d5d9f85042f27ca0876f4101310b6a5249e047f9d86849b7c354c62

Aliases

arxiv: 1607.03793 · arxiv_version: 1607.03793v1 · doi: 10.48550/arxiv.1607.03793 · pith_short_12: 6G35XIS5LWPY · pith_short_16: 6G35XIS5LWPYKBBP · pith_short_8: 6G35XIS5

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/6G35XIS5LWPYKBBPE7FAQ5XUCA \
  | 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: f1b7dba25d5d9f85042f27ca0876f4101310b6a5249e047f9d86849b7c354c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65374a93d4870a5bf428409f68c71e8141c4bab1340c1eabeaf1734c92751718",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-13T15:33:14Z",
    "title_canon_sha256": "3a86894e698231cafd1076a4ac1c86d6331b3e16e1f46d08674480f3ca580ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03793",
    "kind": "arxiv",
    "version": 1
  }
}