Pith Number

pith:2AYW2ULL

pith:2026:2AYW2ULLI3B42GS4FDUZVKYTMK

not attested not anchored not stored refs pending

Excess Obstructions and Star-Isolated Certificates for the Hypergraph Nash--Williams--Tutte Conjecture

Yaoran Yang, Yutong Zhang

arxiv:2605.21961 v1 · 2026-05-21 · 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{2AYW2ULLI3B42GS4FDUZVKYTMK}

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	2026-05-22T01:04:17.246250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0316d516b46c3cd1a5c28e99aab1362a682e99e2692025f2dde0b327abf3bca

Aliases

arxiv: 2605.21961 · arxiv_version: 2605.21961v1 · doi: 10.48550/arxiv.2605.21961 · pith_short_12: 2AYW2ULLI3B4 · pith_short_16: 2AYW2ULLI3B42GS4 · pith_short_8: 2AYW2ULL

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/2AYW2ULLI3B42GS4FDUZVKYTMK \
  | 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: d0316d516b46c3cd1a5c28e99aab1362a682e99e2692025f2dde0b327abf3bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bad94365e6069d4806ceb222b5fce251ed14a35f3c0c583f6435b1b0b8eb13e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T03:47:25Z",
    "title_canon_sha256": "bfe64dcd1906c4b975cfbaea7f3f12218e1c48bdf277fcd1d0e31a80c95a92bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21961",
    "kind": "arxiv",
    "version": 1
  }
}