Pith Number

pith:KCXFQTBF

pith:2026:KCXFQTBFQPMTM2ASEA2Y2MZ5WV

not attested not anchored not stored refs pending

$\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs

Emiliano Liwski, Manohar Kumar

arxiv:2608.01199 v1 · 2026-08-02 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCXFQTBFQPMTM2ASEA2Y2MZ5WV}

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	2026-08-04T02:01:55.304598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ae584c2583d936681220358d333db54733f792949a3bf5239fe9316c67072b

Aliases

arxiv: 2608.01199 · arxiv_version: 2608.01199v1 · doi: 10.48550/arxiv.2608.01199 · pith_short_12: KCXFQTBFQPMT · pith_short_16: KCXFQTBFQPMTM2AS · pith_short_8: KCXFQTBF

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/KCXFQTBFQPMTM2ASEA2Y2MZ5WV \
  | 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: 50ae584c2583d936681220358d333db54733f792949a3bf5239fe9316c67072b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e08d33c33e1f14f5fe84b4cf54e9011b811baf84f93ba896bde00c5f7ecfc7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-02T12:30:33Z",
    "title_canon_sha256": "bce5118582a09d9a32b5a3d1c89d62a7b22b4c338ad0e5932d764fb315bb2df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01199",
    "kind": "arxiv",
    "version": 1
  }
}