Pith Number

pith:HZ4TZZTC

pith:2016:HZ4TZZTC6D5WVWCDQBBRQJXMZH

not attested not anchored not stored refs pending

Improved Achievability and Converse Bounds for Erd\H{o}s-R\'enyi Graph Matching

Daniel Cullina, Negar Kiyavash

arxiv:1602.01042 v1 · 2016-02-02 · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZ4TZZTC6D5WVWCDQBBRQJXMZH}

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	2026-05-18T01:21:23.909114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e793ce662f0fb6ad84380431826ecc9e8bc3ebe1f801fcda8f8c83b829652a0

Aliases

arxiv: 1602.01042 · arxiv_version: 1602.01042v1 · doi: 10.48550/arxiv.1602.01042 · pith_short_12: HZ4TZZTC6D5W · pith_short_16: HZ4TZZTC6D5WVWCD · pith_short_8: HZ4TZZTC

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/HZ4TZZTC6D5WVWCDQBBRQJXMZH \
  | 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: 3e793ce662f0fb6ad84380431826ecc9e8bc3ebe1f801fcda8f8c83b829652a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb5a711bfbba48c860a0b42ea324f6c014c82b1cf93c3c3e6946087f1365bb8",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-02T18:54:04Z",
    "title_canon_sha256": "00ebf902455c28b5282891a19eea3049f5101ced9a3704f2b44c7b7e3ae72f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01042",
    "kind": "arxiv",
    "version": 1
  }
}