Pith Number

pith:MR65HEC7

pith:2016:MR65HEC7QPLDPXABKJRSCHJ2GU

not attested not anchored not stored refs pending

Random Knockout Tournaments

Erol Pekoz, Ilan Adler, Richard Karp, Sheldon M. Ross, Yang Cao

arxiv:1612.04448 v1 · 2016-12-14 · 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{MR65HEC7QPLDPXABKJRSCHJ2GU}

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	2026-05-18T00:54:59.530374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647dd3905f83d637dc015263211d3a3523d7f93643763114bd625b7f29c2066c

Aliases

arxiv: 1612.04448 · arxiv_version: 1612.04448v1 · doi: 10.48550/arxiv.1612.04448 · pith_short_12: MR65HEC7QPLD · pith_short_16: MR65HEC7QPLDPXAB · pith_short_8: MR65HEC7

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/MR65HEC7QPLDPXABKJRSCHJ2GU \
  | 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: 647dd3905f83d637dc015263211d3a3523d7f93643763114bd625b7f29c2066c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643c40482b8b5da5c3617973d523905bf44e1695c9f1bc086b3c5c385e181baa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-14T00:57:06Z",
    "title_canon_sha256": "9cc5b98e019d6ffd6213e81261e393c3d8591ee926f7a6a1ad8c62d3c40e4268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04448",
    "kind": "arxiv",
    "version": 1
  }
}