Pith Number

pith:WD77SIA4

pith:2021:WD77SIA4FYRW5GIGW3QZRRCGXQ

not attested not anchored not stored refs pending

Equitable partitions for Ramanajun graphs

Mohsen Alinejad, Sanaz Fulad

arxiv:2107.11563 v2 · 2021-07-24 · 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{WD77SIA4FYRW5GIGW3QZRRCGXQ}

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	2026-07-05T03:02:17.395909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fff9201c2e236e9906b6e198c446bc3af05d054dcc503784538d4b37d4af9f

Aliases

arxiv: 2107.11563 · arxiv_version: 2107.11563v2 · doi: 10.48550/arxiv.2107.11563 · pith_short_12: WD77SIA4FYRW · pith_short_16: WD77SIA4FYRW5GIG · pith_short_8: WD77SIA4

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/WD77SIA4FYRW5GIGW3QZRRCGXQ \
  | 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: b0fff9201c2e236e9906b6e198c446bc3af05d054dcc503784538d4b37d4af9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f370e489ffe57de23af24f46897b5111eae8bc13f87a49ad9cccd9390ed559e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-24T09:18:05Z",
    "title_canon_sha256": "8f9647cb0fc0cdac1cb9ce25b899b9b29b2d93a55e293379f2376ea8106bc3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11563",
    "kind": "arxiv",
    "version": 2
  }
}