Pith Number

pith:SEZT5M6J

pith:2018:SEZT5M6J7PZB3722PP6Z2XRMCN

not attested not anchored not stored refs pending

Further results on the least Q-eigenvalue of a graph with fixed domination number

Guanglong Yu, Mingqing Zhai, Yarong Wu

arxiv:1812.08932 v2 · 2018-12-21 · 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{SEZT5M6J7PZB3722PP6Z2XRMCN}

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	2026-05-17T23:57:07.183716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91333eb3c9fbf21dff5a7bfd9d5e2c1356b5f1a51b348a90d9fc9c5da14b780a

Aliases

arxiv: 1812.08932 · arxiv_version: 1812.08932v2 · doi: 10.48550/arxiv.1812.08932 · pith_short_12: SEZT5M6J7PZB · pith_short_16: SEZT5M6J7PZB3722 · pith_short_8: SEZT5M6J

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/SEZT5M6J7PZB3722PP6Z2XRMCN \
  | 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: 91333eb3c9fbf21dff5a7bfd9d5e2c1356b5f1a51b348a90d9fc9c5da14b780a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b16edf8f84c057fb715e1f9689b78a25a4417ea7cb058493a195afabba29af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-21T03:52:06Z",
    "title_canon_sha256": "d1bb2916451083af29a59fe930d24eacd0ec249710d1c5c66800bcd994b680ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08932",
    "kind": "arxiv",
    "version": 2
  }
}