Pith Number

pith:USXTEVIW

pith:2012:USXTEVIWSZTR2DGGXZTWYVNMUF

not attested not anchored not stored refs pending

Random graphs with bounded maximum degree: asymptotic structure and a logical limit law

Vera Koponen

arxiv:1204.2446 v2 · 2012-04-11 · 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{USXTEVIWSZTR2DGGXZTWYVNMUF}

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	2026-05-18T03:38:23.581487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4af32551696671d0cc6be676c55aca142dfc1b3087e2db3934fc70992b96923

Aliases

arxiv: 1204.2446 · arxiv_version: 1204.2446v2 · doi: 10.48550/arxiv.1204.2446 · pith_short_12: USXTEVIWSZTR · pith_short_16: USXTEVIWSZTR2DGG · pith_short_8: USXTEVIW

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/USXTEVIWSZTR2DGGXZTWYVNMUF \
  | 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: a4af32551696671d0cc6be676c55aca142dfc1b3087e2db3934fc70992b96923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d01339f6d27284d241b0f5dbd57a0473508ae38e7916d71a4e162847ae47a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-11T13:44:39Z",
    "title_canon_sha256": "1c27dd025d318e4dad0a179c70ad4a6693d71d382bf57dc7dbadd53a35f6fc48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2446",
    "kind": "arxiv",
    "version": 2
  }
}