Pith Number

pith:67GMCXO2

pith:2020:67GMCXO2Z442KUMXTIO2OJZYCT

not attested not anchored not stored refs pending

Intersection theorems for $(-1,0,1)$-vectors

Andrey Kupavskii, Peter Frankl

arxiv:2004.08721 v1 · 2020-04-18 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67GMCXO2Z442KUMXTIO2OJZYCT}

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	2026-07-05T00:56:08.809377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ccc15ddacf39a551979a1da7273814c93210d3a00db3d9623b846a4f6f69ec

Aliases

arxiv: 2004.08721 · arxiv_version: 2004.08721v1 · doi: 10.48550/arxiv.2004.08721 · pith_short_12: 67GMCXO2Z442 · pith_short_16: 67GMCXO2Z442KUMX · pith_short_8: 67GMCXO2

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/67GMCXO2Z442KUMXTIO2OJZYCT \
  | 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: f7ccc15ddacf39a551979a1da7273814c93210d3a00db3d9623b846a4f6f69ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4592c9d50cd4e4b72504f59d79ff2c86dd346ee119867133d19a3f78d3b2b457",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-18T22:48:59Z",
    "title_canon_sha256": "714496b023a81a3af77cc4c06f83049df4109e0d7be3ee71ec04f8aa1aa837cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08721",
    "kind": "arxiv",
    "version": 1
  }
}