Pith Number

pith:I4QSSH2L

pith:2026:I4QSSH2LB4NBHOMQOSFOGWXAR3

not attested not anchored not stored refs pending

Edge-connectivity and LLY curvature of hypergraphs

Qing Xia

arxiv:2608.06029 v1 · 2026-08-06 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4QSSH2LB4NBHOMQOSFOGWXAR3}

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	2026-08-07T00:55:08.835859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4721291f4b0f1a13b990748ae35ae08ef5caed74f81ac2cce6b852c4fcbe5207

Aliases

arxiv: 2608.06029 · arxiv_version: 2608.06029v1 · doi: 10.48550/arxiv.2608.06029 · pith_short_12: I4QSSH2LB4NB · pith_short_16: I4QSSH2LB4NBHOMQ · pith_short_8: I4QSSH2L

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/I4QSSH2LB4NBHOMQOSFOGWXAR3 \
  | 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: 4721291f4b0f1a13b990748ae35ae08ef5caed74f81ac2cce6b852c4fcbe5207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7ce010402917a4b8244ad69038755ebc167d1f24813961564d08f664abbe04",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-06T13:36:44Z",
    "title_canon_sha256": "b17960a4e5e8b6acf20cff1454cb0fb796e609c8aab1f15ecd8615829542c6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06029",
    "kind": "arxiv",
    "version": 1
  }
}