Pith Number

pith:BPCP3GH5

pith:2012:BPCP3GH54GDHJXKZYMQYHPILSD

not attested not anchored not stored refs pending

On the Stretch Factor of Randomly Embedded Random Graphs

Abbas Mehrabian, Nick Wormald

arxiv:1205.6252 v1 · 2012-05-29 · cs.CG · 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{BPCP3GH54GDHJXKZYMQYHPILSD}

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	2026-05-18T03:28:42.866096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc4fd98fde18674dd59c32183bd0b90e56200f37fc00991dd42eea1380e93e2

Aliases

arxiv: 1205.6252 · arxiv_version: 1205.6252v1 · doi: 10.48550/arxiv.1205.6252 · pith_short_12: BPCP3GH54GDH · pith_short_16: BPCP3GH54GDHJXKZ · pith_short_8: BPCP3GH5

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/BPCP3GH54GDHJXKZYMQYHPILSD \
  | 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: 0bc4fd98fde18674dd59c32183bd0b90e56200f37fc00991dd42eea1380e93e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6edf315b89993981b6db04ca5158eba3eea76f0b55c408bfd2f8efe687e27d6c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-05-29T03:31:16Z",
    "title_canon_sha256": "6749395dcbf75c2e8db37f1d0d89ebd514604a2bee8b0839fbd7a8780a0daa89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6252",
    "kind": "arxiv",
    "version": 1
  }
}