Pith Number

pith:SNBR562H

pith:2017:SNBR562HTTUWJEZUWBBK4CQ6NV

not attested not anchored not stored refs pending

The Spectral Gap of Sparse Random Digraphs

Simon Coste

arxiv:1708.00530 v2 · 2017-08-01 · 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{SNBR562HTTUWJEZUWBBK4CQ6NV}

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	2026-05-18T00:09:47.781218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93431efb479ce9649334b042ae0a1e6d74c5efc5d5ade2ed53e7362a5ff2ae23

Aliases

arxiv: 1708.00530 · arxiv_version: 1708.00530v2 · doi: 10.48550/arxiv.1708.00530 · pith_short_12: SNBR562HTTUW · pith_short_16: SNBR562HTTUWJEZU · pith_short_8: SNBR562H

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/SNBR562HTTUWJEZUWBBK4CQ6NV \
  | 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: 93431efb479ce9649334b042ae0a1e6d74c5efc5d5ade2ed53e7362a5ff2ae23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2da4df10fe17f812a83c2ea74810b40912cce24416b9913769166174ac73d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-01T21:51:44Z",
    "title_canon_sha256": "0032cebc438743395bf0992a3a4d0e816b44054e8f3626622cbc991a59517ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00530",
    "kind": "arxiv",
    "version": 2
  }
}