Pith Number

pith:OVOK254M

pith:2019:OVOK254MSDPA5S342KPJMXSU7F

not attested not anchored not stored refs pending

Complete multipartite graphs that are determined, up to switching, by their Seidel spectrum

Abraham Berman, Ranveer Singh, Shaked-Monderer, Xiao-Dong Zhang

arxiv:1902.02575 v1 · 2019-02-07 · 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{OVOK254MSDPA5S342KPJMXSU7F}

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	2026-05-17T23:54:32.811833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755cad778c90de0ecb7cd29e965e54f97db28651751a8b8e749d7c89a1ca6198

Aliases

arxiv: 1902.02575 · arxiv_version: 1902.02575v1 · doi: 10.48550/arxiv.1902.02575 · pith_short_12: OVOK254MSDPA · pith_short_16: OVOK254MSDPA5S34 · pith_short_8: OVOK254M

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/OVOK254MSDPA5S342KPJMXSU7F \
  | 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: 755cad778c90de0ecb7cd29e965e54f97db28651751a8b8e749d7c89a1ca6198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b5158f191eabbe925592df09a308256a793d605edff862d454027789c143f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-07T11:37:27Z",
    "title_canon_sha256": "4be7744affefd6792927955c8306cbb83cf2c759b4f01b2d86e9c48e9e13a90e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02575",
    "kind": "arxiv",
    "version": 1
  }
}