Pith Number

pith:QGG6T24K

pith:2005:QGG6T24KQ4RQLYWFLZLONLLHAI

not attested not anchored not stored refs pending

Distances in random graphs with finite mean and infinite variance degrees

Dmitri Znamenski, Gerard Hooghiemstra, Remco van der Hofstad

arxiv:math/0502581 v1 · 2005-02-28 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGG6T24KQ4RQLYWFLZLONLLHAI}

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	2026-05-18T01:05:23.712657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818de9eb8a872305e2c55e56e6ad67023eb1280e5c64c39e7aa12a5a99e9f21d

Aliases

arxiv: math/0502581 · arxiv_version: math/0502581v1 · doi: 10.48550/arxiv.math/0502581 · pith_short_12: QGG6T24KQ4RQ · pith_short_16: QGG6T24KQ4RQLYWF · pith_short_8: QGG6T24K

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/QGG6T24KQ4RQLYWFLZLONLLHAI \
  | 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: 818de9eb8a872305e2c55e56e6ad67023eb1280e5c64c39e7aa12a5a99e9f21d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c89726a399f1a27ace79fe8863d5964345ebf0516e8905ef5dec5d6fb7e4b2b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-02-28T16:51:58Z",
    "title_canon_sha256": "156af9b42354a505db5ce2ea80f3597595754697573aad50001410799ba476c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502581",
    "kind": "arxiv",
    "version": 1
  }
}