Pith Number

pith:3O2GKEFS

pith:2020:3O2GKEFSH6GY4AA7VWCTZM3BRG

not attested not anchored not stored refs pending

Forbidding $K_{2,t}$ traces in triple systems

Ruth Luo, Sam Spiro

arxiv:2007.01827 v2 · 2020-07-03 · 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{3O2GKEFSH6GY4AA7VWCTZM3BRG}

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	2026-07-05T01:16:57.387824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb46510b23f8d8e001fad853cb36189a0afb8932e17e8989b65868686956a4c

Aliases

arxiv: 2007.01827 · arxiv_version: 2007.01827v2 · doi: 10.48550/arxiv.2007.01827 · pith_short_12: 3O2GKEFSH6GY · pith_short_16: 3O2GKEFSH6GY4AA7 · pith_short_8: 3O2GKEFS

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/3O2GKEFSH6GY4AA7VWCTZM3BRG \
  | 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: dbb46510b23f8d8e001fad853cb36189a0afb8932e17e8989b65868686956a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a953d4265397744be1894e086e707d320ae29fdf759b365c0e22f6bc3aac764b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-03T17:32:08Z",
    "title_canon_sha256": "08c1bb8ec44a85f371a2091dafa888902c4f8f234d10b1113929a5a823b52760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01827",
    "kind": "arxiv",
    "version": 2
  }
}