Pith Number

pith:BFSZQ3Z6

pith:2012:BFSZQ3Z6BCWQOR2YNQTHWDVL2R

not attested not anchored not stored refs pending

Spectra of edge-independent random graphs

Linyuan Lu, Xing Peng

arxiv:1204.6207 v1 · 2012-04-27 · 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{BFSZQ3Z6BCWQOR2YNQTHWDVL2R}

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.

Cited by

1 paper in Pith

Edge Exchangeable Graphs: Connectedness, Gaussianity and Completeness

Receipt and verification

First computed	2026-05-18T03:56:46.784520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0965986f3e08ad0747586c267b0eabd4684a97c941fbddaa92f8b59fe6fe4734

Aliases

arxiv: 1204.6207 · arxiv_version: 1204.6207v1 · doi: 10.48550/arxiv.1204.6207 · pith_short_12: BFSZQ3Z6BCWQ · pith_short_16: BFSZQ3Z6BCWQOR2Y · pith_short_8: BFSZQ3Z6

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/BFSZQ3Z6BCWQOR2YNQTHWDVL2R \
  | 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: 0965986f3e08ad0747586c267b0eabd4684a97c941fbddaa92f8b59fe6fe4734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c818714a4511d1415a8b27a2623653807ef282eddda93f5c0a1da1dda3322c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-27T13:28:33Z",
    "title_canon_sha256": "8042fe9bf1a6ef5af0c6e85482f04eed144da6b9f78370b57060516542abda1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6207",
    "kind": "arxiv",
    "version": 1
  }
}