Pith Number

pith:7YKPARCJ

pith:2025:7YKPARCJKWFIAKG2DUAIDC7IXF

not attested not anchored not stored refs pending

The ordering of hypertrees and unicyclic hypergraphs by the traces of $\mathcal{A}_{\alpha}$-tensor

Changjiang Bu, Jueru Liu, Lizhu Sun

arxiv:2507.02650 v1 · 2025-07-03 · 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{7YKPARCJKWFIAKG2DUAIDC7IXF}

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	2026-07-05T11:31:32.371472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe14f04449558a8028da1d00818be8b9671607cf38de6b19f37b033156ccec4e

Aliases

arxiv: 2507.02650 · arxiv_version: 2507.02650v1 · doi: 10.48550/arxiv.2507.02650 · pith_short_12: 7YKPARCJKWFI · pith_short_16: 7YKPARCJKWFIAKG2 · pith_short_8: 7YKPARCJ

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/7YKPARCJKWFIAKG2DUAIDC7IXF \
  | 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: fe14f04449558a8028da1d00818be8b9671607cf38de6b19f37b033156ccec4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88397ff5adcf9eb8c0fccc92c856963fec286f119b6a67423371ff4a01d5a1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-03T14:16:57Z",
    "title_canon_sha256": "8656d532f812d38f59a383784f656aa798e625abd8f9f5efb91715ca7069d120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02650",
    "kind": "arxiv",
    "version": 1
  }
}