Pith Number

pith:7X6GZCCM

pith:2012:7X6GZCCMV2EWZ7USUYZDQRXQEE

not attested not anchored not stored refs pending

Even-freeness of cyclic 2-designs

Yuichiro Fujiwara

arxiv:1210.7516 v1 · 2012-10-28 · 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{7X6GZCCMV2EWZ7USUYZDQRXQEE}

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	2026-05-18T03:42:09.685060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfc6c884cae896cfe92a6323846f02103e46c7be9c54247fa41a25e0be4e3b4

Aliases

arxiv: 1210.7516 · arxiv_version: 1210.7516v1 · doi: 10.48550/arxiv.1210.7516 · pith_short_12: 7X6GZCCMV2EW · pith_short_16: 7X6GZCCMV2EWZ7US · pith_short_8: 7X6GZCCM

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/7X6GZCCMV2EWZ7USUYZDQRXQEE \
  | 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: fdfc6c884cae896cfe92a6323846f02103e46c7be9c54247fa41a25e0be4e3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c936c4d787c1b60df14cf1c99c9904a4490da1ef5dc8eaa7fcc6e9c0ace829ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-28T22:03:10Z",
    "title_canon_sha256": "262ecf24523b71676fbba681062b37ad9887c6898677b34086eae5e0f2a3fb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7516",
    "kind": "arxiv",
    "version": 1
  }
}