Pith Number

pith:X2FZDF6B

pith:2016:X2FZDF6BPPV4NOFCE6WZ62WDTD

not attested not anchored not stored refs pending

Two remarks on even and oddtown problems

Benny Sudakov, Pedro Vieira

arxiv:1610.07907 v1 · 2016-10-25 · 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{X2FZDF6BPPV4NOFCE6WZ62WDTD}

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	2026-05-18T01:01:17.232659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be8b9197c17bebc6b8a227ad9f6ac398fb3b12352cbdd81cc534e2f2b02c6811

Aliases

arxiv: 1610.07907 · arxiv_version: 1610.07907v1 · doi: 10.48550/arxiv.1610.07907 · pith_short_12: X2FZDF6BPPV4 · pith_short_16: X2FZDF6BPPV4NOFC · pith_short_8: X2FZDF6B

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/X2FZDF6BPPV4NOFCE6WZ62WDTD \
  | 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: be8b9197c17bebc6b8a227ad9f6ac398fb3b12352cbdd81cc534e2f2b02c6811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9acb310dfa4c1e4be45409ff3d65a5ce1fb5d5de2662c6a6e7ce301ff26660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-25T14:57:37Z",
    "title_canon_sha256": "58257a3a29f157c00ef71c5e442710195ea05b34d77289784e6b99ea7594f44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07907",
    "kind": "arxiv",
    "version": 1
  }
}