Pith Number

pith:FINFVDUV

pith:2020:FINFVDUVGVL3EUHTT4BHUINYTI

not attested not anchored not stored refs pending

Minimizing cycles in tournaments and normalized $q$-norms

Jie Ma, Tianyun Tang

arxiv:2011.14142 v1 · 2020-11-28 · 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{FINFVDUVGVL3EUHTT4BHUINYTI}

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	2026-07-05T01:55:17.694289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a1a5a8e953557b250f39f027a21b89a24e954515f89729091338763e3f6b1ae

Aliases

arxiv: 2011.14142 · arxiv_version: 2011.14142v1 · doi: 10.48550/arxiv.2011.14142 · pith_short_12: FINFVDUVGVL3 · pith_short_16: FINFVDUVGVL3EUHT · pith_short_8: FINFVDUV

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/FINFVDUVGVL3EUHTT4BHUINYTI \
  | 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: 2a1a5a8e953557b250f39f027a21b89a24e954515f89729091338763e3f6b1ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6effd3e0096930841dc7fbd1fde249dec4484fcffd63bcdd9fdc99bb02a4a34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-28T14:55:13Z",
    "title_canon_sha256": "96c145b3dde355ef7ed9c940a2e8f0019968d4b43de799a5a43db33240c38359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14142",
    "kind": "arxiv",
    "version": 1
  }
}