Pith Number

pith:PP5YHFZD

pith:2026:PP5YHFZDH2HJRBNLJ4DLBQ7DAS

not attested not anchored not stored refs pending

On the hitting time of Hamiltonicity in bipartite Dirac graphs

Yiting Wang

arxiv:2606.11992 v1 · 2026-06-10 · 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{PP5YHFZDH2HJRBNLJ4DLBQ7DAS}

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	2026-06-11T01:10:41.411498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bfb8397233e8e9885ab4f06b0c3e304957b12d9ef5276d0cd7e98b1adeeb64b

Aliases

arxiv: 2606.11992 · arxiv_version: 2606.11992v1 · doi: 10.48550/arxiv.2606.11992 · pith_short_12: PP5YHFZDH2HJ · pith_short_16: PP5YHFZDH2HJRBNL · pith_short_8: PP5YHFZD

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/PP5YHFZDH2HJRBNLJ4DLBQ7DAS \
  | 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: 7bfb8397233e8e9885ab4f06b0c3e304957b12d9ef5276d0cd7e98b1adeeb64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e166e4b071a4f8e14eb0eb01ebb2d47feca145dfbd99ece1fccbdb967329839f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T12:18:43Z",
    "title_canon_sha256": "0912cba60bb624b0c06fec2082b137e0de77c7e0e978c0ee7d69f136390276b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11992",
    "kind": "arxiv",
    "version": 1
  }
}