Pith Number

pith:Q63GQYXZ

pith:2018:Q63GQYXZ27GEC3HBBBPBQSZNNF

not attested not anchored not stored refs pending

The structure of random automorphisms of the random graph

Kende Kalina, M\'arton Elekes, Udayan B. Darji, Viktor Kiss, Zolt\'an Vidny\'anszky

arxiv:1808.06121 v1 · 2018-08-18 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q63GQYXZ27GEC3HBBBPBQSZNNF}

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	2026-05-18T00:07:46.015144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b66862f9d7cc416ce1085e184b2d6960ed0e8a24c41209f6efbee62ab8596e

Aliases

arxiv: 1808.06121 · arxiv_version: 1808.06121v1 · doi: 10.48550/arxiv.1808.06121 · pith_short_12: Q63GQYXZ27GE · pith_short_16: Q63GQYXZ27GEC3HB · pith_short_8: Q63GQYXZ

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/Q63GQYXZ27GEC3HBBBPBQSZNNF \
  | 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: 87b66862f9d7cc416ce1085e184b2d6960ed0e8a24c41209f6efbee62ab8596e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f8e556a3e5f05a080be719af08b140f2de39eea05cadbea68552d35998d263a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-18T19:22:28Z",
    "title_canon_sha256": "d20daa19296451bd9380c768397e9d7abcf2de68fa52a6127094aace850dcbc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06121",
    "kind": "arxiv",
    "version": 1
  }
}