Pith Number

pith:FQ7QVKXB

pith:2024:FQ7QVKXBTEFGSBPD5RYHKV26GJ

not attested not anchored not stored refs pending

Ramanujan Graphs and Interlacing Families

Nikhil Srivastava

arxiv:2412.20721 v1 · 2024-12-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQ7QVKXBTEFGSBPD5RYHKV26GJ}

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	2026-07-05T09:55:21.327882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3f0aaae1990a6905e3ec7075575e3251a0ac723bf9932785af7d45c250054b

Aliases

arxiv: 2412.20721 · arxiv_version: 2412.20721v1 · doi: 10.48550/arxiv.2412.20721 · pith_short_12: FQ7QVKXBTEFG · pith_short_16: FQ7QVKXBTEFGSBPD · pith_short_8: FQ7QVKXB

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/FQ7QVKXBTEFGSBPD5RYHKV26GJ \
  | 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: 2c3f0aaae1990a6905e3ec7075575e3251a0ac723bf9932785af7d45c250054b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce1dd264630ee9727d56eb910944d76facf52a6d5e7b210ecc8f93c7b47a205",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-30T05:41:52Z",
    "title_canon_sha256": "b4205397f7efa5a36f7a6d51bcfdf691cd75d04ed7f35741792cf5aefa7a0a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20721",
    "kind": "arxiv",
    "version": 1
  }
}