Pith Number

pith:RQA3DGG7

pith:2013:RQA3DGG7M64OOZBB4OAT7CIBXF

not attested not anchored not stored refs pending

On high-dimensional acyclic tournaments

Avraham Morgenstern, Nati Linial

arxiv:1302.1684 v2 · 2013-02-07 · 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{RQA3DGG7M64OOZBB4OAT7CIBXF}

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	2026-05-18T03:05:28.229875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c01b198df67b8e76421e3813f8901b9402145a6c5d0d8a315eb135c4ce43fdc

Aliases

arxiv: 1302.1684 · arxiv_version: 1302.1684v2 · doi: 10.48550/arxiv.1302.1684 · pith_short_12: RQA3DGG7M64O · pith_short_16: RQA3DGG7M64OOZBB · pith_short_8: RQA3DGG7

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/RQA3DGG7M64OOZBB4OAT7CIBXF \
  | 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: 8c01b198df67b8e76421e3813f8901b9402145a6c5d0d8a315eb135c4ce43fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588874cd2bc06812ebbcd544e36606c23c5a7e21034b8858befdaa481b7bc219",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-07T09:59:48Z",
    "title_canon_sha256": "5ea439bfaefcb29d998ef750d44b416d1e2b0fe576b78de4ad699295380bff6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1684",
    "kind": "arxiv",
    "version": 2
  }
}