Pith Number

pith:3JDYJOT5

pith:2017:3JDYJOT5CBSAOEGFDVL5P5K5CE

not attested not anchored not stored refs pending

Trees and $n$-Good Hypergraphs

Andrew Penland, Mark Budden

arxiv:1710.05731 v1 · 2017-10-16 · 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{3JDYJOT5CBSAOEGFDVL5P5K5CE}

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	2026-05-18T00:32:48.366490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4784ba7d10640710c51d57d7f55d11390a3d1b0afacf19dd8beab5649c4100

Aliases

arxiv: 1710.05731 · arxiv_version: 1710.05731v1 · doi: 10.48550/arxiv.1710.05731 · pith_short_12: 3JDYJOT5CBSA · pith_short_16: 3JDYJOT5CBSAOEGF · pith_short_8: 3JDYJOT5

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/3JDYJOT5CBSAOEGFDVL5P5K5CE \
  | 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: da4784ba7d10640710c51d57d7f55d11390a3d1b0afacf19dd8beab5649c4100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff731ab3d238ba1656344842eeb0ddd39ab02287cd4ddb58e05306e410ca7171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-16T14:28:19Z",
    "title_canon_sha256": "9bf0a862d4712a2eaea6c554ca46b2b24ef490a7d324e8ed575871c365dc7b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05731",
    "kind": "arxiv",
    "version": 1
  }
}