Pith Number

pith:IESNZBKV

pith:2010:IESNZBKVBKPHUYQXAWQGHG7ISD

not attested not anchored not stored refs pending

Induced subgraphs in sparse random graphs with given degree sequence

Nicholas Wormald, Pu Gao, Yi Su

arxiv:1011.3810 v2 · 2010-11-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IESNZBKVBKPHUYQXAWQGHG7ISD}

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	2026-05-18T04:34:36.640449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4124dc85550a9e7a621705a0639be890e2a259de9f66ed78a0e1c92571f80c37

Aliases

arxiv: 1011.3810 · arxiv_version: 1011.3810v2 · doi: 10.48550/arxiv.1011.3810 · pith_short_12: IESNZBKVBKPH · pith_short_16: IESNZBKVBKPHUYQX · pith_short_8: IESNZBKV

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/IESNZBKVBKPHUYQXAWQGHG7ISD \
  | 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: 4124dc85550a9e7a621705a0639be890e2a259de9f66ed78a0e1c92571f80c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94968ec4133497184caf0e3057c46f16da99e1df80725198757237b428acbc0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-16T20:33:57Z",
    "title_canon_sha256": "c3599f62be8f3127177bfd23ae7cc151985d8cbcf99289f284aa02b85a006a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3810",
    "kind": "arxiv",
    "version": 2
  }
}