Pith Number

pith:PX45QN7N

pith:2015:PX45QN7NXYVHNJWOGVV5V54AY7

not attested not anchored not stored refs pending

Tight Heffter Arrays Exist for all Possible Values: The Research Report

Dan S. Archdeacon, Jeffrey H. Dinitz, Tomas Boothby

arxiv:1509.00430 v1 · 2015-09-01 · 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{PX45QN7NXYVHNJWOGVV5V54AY7}

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	2026-05-18T01:34:14.109833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df9d837edbe2a76a6ce356bdaf780c7dc0478bb98177df90ea69aa7bc163337

Aliases

arxiv: 1509.00430 · arxiv_version: 1509.00430v1 · doi: 10.48550/arxiv.1509.00430 · pith_short_12: PX45QN7NXYVH · pith_short_16: PX45QN7NXYVHNJWO · pith_short_8: PX45QN7N

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/PX45QN7NXYVHNJWOGVV5V54AY7 \
  | 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: 7df9d837edbe2a76a6ce356bdaf780c7dc0478bb98177df90ea69aa7bc163337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e8f1404e81882bfac8d77599e55f41aafd17f4da24d1d76228e30a6b07e798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-01T18:28:10Z",
    "title_canon_sha256": "8b59e058d99bc5fc4ff7cc1ab3a3e7e9d765fae12bed9746e8004a3482731d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00430",
    "kind": "arxiv",
    "version": 1
  }
}