Pith Number

pith:LORXQV3G

pith:2019:LORXQV3GKVNXW43B2GASBHOLEE

not attested not anchored not stored refs pending

The relation between the independence number and rank of a signed graph

Rong-Xia Hao, Shengjie He

arxiv:1907.07837 v1 · 2019-07-18 · 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{LORXQV3GKVNXW43B2GASBHOLEE}

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	2026-05-17T23:40:16.042047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba3785766555b7b7361d181209dcb21345240496a0008deb562afed380d9750

Aliases

arxiv: 1907.07837 · arxiv_version: 1907.07837v1 · doi: 10.48550/arxiv.1907.07837 · pith_short_12: LORXQV3GKVNX · pith_short_16: LORXQV3GKVNXW43B · pith_short_8: LORXQV3G

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/LORXQV3GKVNXW43B2GASBHOLEE \
  | 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: 5ba3785766555b7b7361d181209dcb21345240496a0008deb562afed380d9750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb8361f6c492f12c3200c7bfcd98fd1e92301123bc2f9edb9150252714119c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-18T01:54:56Z",
    "title_canon_sha256": "20cac42c9890725d5c6199b7e6de121f9b57b0f5044f835b1cdb0e6b0ae3371b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07837",
    "kind": "arxiv",
    "version": 1
  }
}