Pith Number

pith:HY7KWYUW

pith:2012:HY7KWYUWL3HET5WYMX7QKS3OUU

not attested not anchored not stored refs pending

q-Steiner Systems Do Exist

Alfred Wassermann, Michael Braun

arxiv:1211.2758 v1 · 2012-11-06 · 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{HY7KWYUWL3HET5WYMX7QKS3OUU}

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	2026-05-18T03:41:01.852021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3eab62965ece49f6d865ff054b6ea5052cbf70af303f3ca8fb1af09b58f3a9

Aliases

arxiv: 1211.2758 · arxiv_version: 1211.2758v1 · doi: 10.48550/arxiv.1211.2758 · pith_short_12: HY7KWYUWL3HE · pith_short_16: HY7KWYUWL3HET5WY · pith_short_8: HY7KWYUW

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/HY7KWYUWL3HET5WYMX7QKS3OUU \
  | 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: 3e3eab62965ece49f6d865ff054b6ea5052cbf70af303f3ca8fb1af09b58f3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab0c5dd8c9b73010bfeee42bc1cfe4e83e0c0c4c2d026218086df0eb70fbe75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-06T17:56:12Z",
    "title_canon_sha256": "26db3b05660869c38876634f20103bea5ac3b5cc28e3d777690d98080e63e674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2758",
    "kind": "arxiv",
    "version": 1
  }
}