Pith Number

pith:HGS4QKED

pith:1995:HGS4QKEDCBCCFC5A4S4DSJMLSY

not attested not anchored not stored refs pending

Convergence in homogeneous random graphs

Saharon Shelah, Tomasz {\L}uczak

arxiv:math/9501221 v1 · 1995-01-15 · math.LO · 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{HGS4QKEDCBCCFC5A4S4DSJMLSY}

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	2026-05-18T01:05:50.621435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a5c828831044228ba0e4b839258b961b5e4a73738c3e23eaf585344ebe5f16

Aliases

arxiv: math/9501221 · arxiv_version: math/9501221v1 · doi: 10.48550/arxiv.math/9501221 · pith_short_12: HGS4QKEDCBCC · pith_short_16: HGS4QKEDCBCCFC5A · pith_short_8: HGS4QKED

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/HGS4QKEDCBCCFC5A4S4DSJMLSY \
  | 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: 39a5c828831044228ba0e4b839258b961b5e4a73738c3e23eaf585344ebe5f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9df5dbbef168782d800ecb27e9cef36edede42e2e343c27dc5b504f4e2eab9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1995-01-15T00:00:00Z",
    "title_canon_sha256": "7f2dfb9d4b98874430e5ec018f6f707d8d47f3c915d86bc67ad4f5ed719dbd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9501221",
    "kind": "arxiv",
    "version": 1
  }
}