Pith Number

pith:MTDM3XBY

pith:2018:MTDM3XBYUNYSYDQGSQAO6CQKSH

not attested not anchored not stored refs pending

The rank of random regular digraphs of constant degree

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

arxiv:1801.05577 v2 · 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{MTDM3XBYUNYSYDQGSQAO6CQKSH}

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	2026-05-18T00:10:22.154179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c6cddc38a3712c0e069400ef0a0a91c6fffca8beb84c7a204e485de17af5b5

Aliases

arxiv: 1801.05577 · arxiv_version: 1801.05577v2 · doi: 10.48550/arxiv.1801.05577 · pith_short_12: MTDM3XBYUNYS · pith_short_16: MTDM3XBYUNYSYDQG · pith_short_8: MTDM3XBY

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/MTDM3XBYUNYSYDQGSQAO6CQKSH \
  | 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: 64c6cddc38a3712c0e069400ef0a0a91c6fffca8beb84c7a204e485de17af5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7df0bc0c25d6c95c1044e58e25703667335ccea7970b3328739a6b868779851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-17T07:42:48Z",
    "title_canon_sha256": "f6788189f3155b16613e8f3f68945d919b204ec97cbfd0c4f454e1bb1a2095cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05577",
    "kind": "arxiv",
    "version": 2
  }
}