Pith Number

pith:TT6GBW75

pith:2017:TT6GBW75XGSJGQB6B32BLIIK6W

not attested not anchored not stored refs pending

Constraining the clustering transition for colorings of sparse random graphs

Alan Frieze, Michael Anastos, Wesley Pegden

arxiv:1705.07944 v2 · 2017-05-22 · 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{TT6GBW75XGSJGQB6B32BLIIK6W}

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	2026-05-18T00:26:21.357192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cfc60dbfdb9a493403e0ef415a10af5ad2901f3833b30aa773ce804a5739451

Aliases

arxiv: 1705.07944 · arxiv_version: 1705.07944v2 · doi: 10.48550/arxiv.1705.07944 · pith_short_12: TT6GBW75XGSJ · pith_short_16: TT6GBW75XGSJGQB6 · pith_short_8: TT6GBW75

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/TT6GBW75XGSJGQB6B32BLIIK6W \
  | 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: 9cfc60dbfdb9a493403e0ef415a10af5ad2901f3833b30aa773ce804a5739451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b68e2ef9a96ed33f40019477360f74bc75d43c669e24171395b7cdd26b9030",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-22T18:44:35Z",
    "title_canon_sha256": "66af8069362795e62fd6f91ecb51473e633d682560d926bc80bca1e4b4f8cecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07944",
    "kind": "arxiv",
    "version": 2
  }
}