Pith Number

pith:A2MJG64C

pith:2015:A2MJG64CX2C46PMYPUMQOFLEEK

not attested not anchored not stored refs pending

Waiter-Client and Client-Waiter Hamiltonicity games on random graphs

Dan Hefetz, Michael Krivelevich, Wei En Tan

arxiv:1509.05356 v2 · 2015-09-17 · 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{A2MJG64CX2C46PMYPUMQOFLEEK}

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	2026-05-18T00:50:40.556104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0698937b82be85cf3d987d1907156422a8848664bd4fa0589385e1cf360b49a3

Aliases

arxiv: 1509.05356 · arxiv_version: 1509.05356v2 · doi: 10.48550/arxiv.1509.05356 · pith_short_12: A2MJG64CX2C4 · pith_short_16: A2MJG64CX2C46PMY · pith_short_8: A2MJG64C

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/A2MJG64CX2C46PMYPUMQOFLEEK \
  | 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: 0698937b82be85cf3d987d1907156422a8848664bd4fa0589385e1cf360b49a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab18ade2f2bd1a872c725736a26f13527644f0f3bc52b869f65a7ecc536b345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T18:19:32Z",
    "title_canon_sha256": "98d6c57c48a4704524df8a96a3c9458ff29d73edcc0011a84b34d63678b68932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05356",
    "kind": "arxiv",
    "version": 2
  }
}