Pith Number

pith:YJTJ5ZFS

pith:2016:YJTJ5ZFSARFF7FM64J2A7NDKHX

not attested not anchored not stored refs pending

On MAXCUT in strictly supercritical random graphs, and coloring of random graphs and random tournaments

Gal Kronenberg, Lior Gishboliner, Michael Krivelevich

arxiv:1603.04044 v2 · 2016-03-13 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJTJ5ZFSARFF7FM64J2A7NDKHX}

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	2026-05-18T00:48:37.432107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2669ee4b2044a5f959ee2740fb46a3dd67e914af7b6166fc176420a739e672e

Aliases

arxiv: 1603.04044 · arxiv_version: 1603.04044v2 · doi: 10.48550/arxiv.1603.04044 · pith_short_12: YJTJ5ZFSARFF · pith_short_16: YJTJ5ZFSARFF7FM6 · pith_short_8: YJTJ5ZFS

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/YJTJ5ZFSARFF7FM64J2A7NDKHX \
  | 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: c2669ee4b2044a5f959ee2740fb46a3dd67e914af7b6166fc176420a739e672e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797882b8ccda1214c42e80e89ac55bf8517ac7ed3264d0ed9d8b46043480a603",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-13T16:20:35Z",
    "title_canon_sha256": "089decdddc553b2ea88540dd412cd8d736b030dd8a19c7f82dee54808e54db73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04044",
    "kind": "arxiv",
    "version": 2
  }
}