Pith Number

pith:VITZAVMF

pith:2025:VITZAVMFMK7732ZWKCMUJUZAV3

not attested not anchored not stored refs pending

General Strong Bound on the Uncrossed Number via a Tight Bound for the Maximum Uncrossed Subgraph Number

Gaspard Charvy, Tom\'a\v{s} Masa\v{r}\'ik

arxiv:2507.20937 v3 · 2025-07-28 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VITZAVMFMK7732ZWKCMUJUZAV3}

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	2026-05-17T23:39:04.846455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa2790558562bffdeb36509944d320aeda52b2dbc8f7ab6d70dc2a76029e9ab7

Aliases

arxiv: 2507.20937 · arxiv_version: 2507.20937v3 · doi: 10.48550/arxiv.2507.20937 · pith_short_12: VITZAVMFMK77 · pith_short_16: VITZAVMFMK7732ZW · pith_short_8: VITZAVMF

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/VITZAVMFMK7732ZWKCMUJUZAV3 \
  | 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: aa2790558562bffdeb36509944d320aeda52b2dbc8f7ab6d70dc2a76029e9ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de2763212552f1623cd6cc04095997e2d38feb086277e9e13d511fd4a0e4696",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-28T15:50:38Z",
    "title_canon_sha256": "62b0a3d0dc5990f7a3a7366e442c7bdd2cbddef7248ee95b97706f2d8060028a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20937",
    "kind": "arxiv",
    "version": 3
  }
}