Pith Number

pith:LLWPVZOM

pith:2017:LLWPVZOMMGHYIDFGDYAYJCRRXW

not attested not anchored not stored refs pending

Are Erd\"os- R\'enyi Random Graphs Topologically Random?

Javier Escudero, Keith Smith

arxiv:1703.00210 v3 · 2017-03-01 · cs.SI · cs.DM · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLWPVZOMMGHYIDFGDYAYJCRRXW}

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	2026-05-18T00:47:33.276246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aecfae5cc618f840ca61e01848a31bda0b1320f4a0c64ecb95268ea57dd2cda

Aliases

arxiv: 1703.00210 · arxiv_version: 1703.00210v3 · doi: 10.48550/arxiv.1703.00210 · pith_short_12: LLWPVZOMMGHY · pith_short_16: LLWPVZOMMGHYIDFG · pith_short_8: LLWPVZOM

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/LLWPVZOMMGHYIDFGDYAYJCRRXW \
  | 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: 5aecfae5cc618f840ca61e01848a31bda0b1320f4a0c64ecb95268ea57dd2cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3516582f4cd3c86702b4b64c1f3a080589227d91eb4431bb8db5ebe65372ccf4",
    "cross_cats_sorted": [
      "cs.DM",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2017-03-01T10:15:03Z",
    "title_canon_sha256": "25659cf266c38c8291b489e8c34f5204bfd463082261e1103f0591d3aac0a123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00210",
    "kind": "arxiv",
    "version": 3
  }
}