Pith Number

pith:3C4K7TQX

pith:2018:3C4K7TQXBCED7ZSUKZATLP7UYT

not attested not anchored not stored refs pending

Structure of eigenvectors of random regular digraphs

Alexander Litvak, Anna Lytova, Konstantin Tikhomirov, Nicole Tomczak-Jaegermann, Pierre Youssef

arxiv:1801.05575 v4 · 2018-01-17 · 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{3C4K7TQXBCED7ZSUKZATLP7UYT}

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	2026-05-18T00:02:19.460396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b8afce1708883fe654564135bff4c4db33abd281b41d27b41a4ae86a644354

Aliases

arxiv: 1801.05575 · arxiv_version: 1801.05575v4 · doi: 10.48550/arxiv.1801.05575 · pith_short_12: 3C4K7TQXBCED · pith_short_16: 3C4K7TQXBCED7ZSU · pith_short_8: 3C4K7TQX

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/3C4K7TQXBCED7ZSUKZATLP7UYT \
  | 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: d8b8afce1708883fe654564135bff4c4db33abd281b41d27b41a4ae86a644354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa9209aa7ad59f8d249c7ac91db986471982f1b3703e0120ddfbe23df8c8983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-17T07:22:18Z",
    "title_canon_sha256": "ebe398f6bbe5c420be72b50a736adaf13c66b27ac286dfe2ee7e4cc2d0c9a013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05575",
    "kind": "arxiv",
    "version": 4
  }
}