Pith Number

pith:IXH42PZG

pith:2022:IXH42PZGARX2PGSKWAZBXG2NBT

not attested not anchored not stored refs pending

Generalized Paley graphs equienergetic with their complements

Denis E. Videla, Ricardo A. Podest\'a

arxiv:2204.08509 v1 · 2022-04-18 · 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{IXH42PZGARX2PGSKWAZBXG2NBT}

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	2026-07-05T04:15:30.529060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cfcd3f26046fa79a4ab0321b9b4d0cf5582fe2d8e7951940479cf09104c789

Aliases

arxiv: 2204.08509 · arxiv_version: 2204.08509v1 · doi: 10.48550/arxiv.2204.08509 · pith_short_12: IXH42PZGARX2 · pith_short_16: IXH42PZGARX2PGSK · pith_short_8: IXH42PZG

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/IXH42PZGARX2PGSKWAZBXG2NBT \
  | 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: 45cfcd3f26046fa79a4ab0321b9b4d0cf5582fe2d8e7951940479cf09104c789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67819bf377e71c0d9d437221b24389acb9bea638893d8fcc65e4a92ac89edb87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-18T18:43:37Z",
    "title_canon_sha256": "f33153a0b34fe5cc1e2d486f2bdc79d63edcc4b2c7b419ed28692ff3c64f75db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08509",
    "kind": "arxiv",
    "version": 1
  }
}