Pith Number

pith:PJTQEQDB

pith:2018:PJTQEQDBRPIYDA6WDYIZEOHO2T

not attested not anchored not stored refs pending

Waiter-Client Maximum Degree Game

Michael Krivelevich, Nadav Trumer

arxiv:1807.11109 v1 · 2018-07-29 · 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{PJTQEQDBRPIYDA6WDYIZEOHO2T}

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	2026-05-18T00:09:32.900204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a670240618bd18183d61e119238eed4c9a5e520e5b054c6afe6aa31fc648d58

Aliases

arxiv: 1807.11109 · arxiv_version: 1807.11109v1 · doi: 10.48550/arxiv.1807.11109 · pith_short_12: PJTQEQDBRPIY · pith_short_16: PJTQEQDBRPIYDA6W · pith_short_8: PJTQEQDB

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/PJTQEQDBRPIYDA6WDYIZEOHO2T \
  | 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: 7a670240618bd18183d61e119238eed4c9a5e520e5b054c6afe6aa31fc648d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c33db40882d402123c361f97173040ba8fcd5a0f310162fa6c37346ead79f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-29T20:02:32Z",
    "title_canon_sha256": "a9acb3b25492b442ccc08d653dc31de4e1352a9076eece74083c4562282eefef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11109",
    "kind": "arxiv",
    "version": 1
  }
}