Pith Number

pith:UKAJT2GC

pith:2016:UKAJT2GCIQ5TUBUMVZ7ELZEFCW

not attested not anchored not stored refs pending

A construction of group divisible designs with zero block sum

Chia-an Liu, Chong-Dao Lee, Yaotsu Chang

arxiv:1612.09397 v1 · 2016-12-30 · 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{UKAJT2GCIQ5TUBUMVZ7ELZEFCW}

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	2026-05-18T00:53:41.618328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28099e8c2443b3a068cae7e45e48515a5e018803269bd4f6f089cad351a19a0

Aliases

arxiv: 1612.09397 · arxiv_version: 1612.09397v1 · doi: 10.48550/arxiv.1612.09397 · pith_short_12: UKAJT2GCIQ5T · pith_short_16: UKAJT2GCIQ5TUBUM · pith_short_8: UKAJT2GC

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/UKAJT2GCIQ5TUBUMVZ7ELZEFCW \
  | 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: a28099e8c2443b3a068cae7e45e48515a5e018803269bd4f6f089cad351a19a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b69b14538ed7540582b70ca2ef66f17a5bff0219dd75ee9f0b1f51da267b3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-30T06:01:34Z",
    "title_canon_sha256": "37c70962231567147b85aed7cb08292be06c5c5e904f337f0450150238b3a00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09397",
    "kind": "arxiv",
    "version": 1
  }
}