Pith Number

pith:NB6K75YS

pith:2018:NB6K75YSTDFSU7TW222KNTDK4A

not attested not anchored not stored refs pending

Ramanujan Graphs and Digraphs

Ori Parzanchevski

arxiv:1804.08028 v4 · 2018-04-21 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NB6K75YSTDFSU7TW222KNTDK4A}

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	2026-07-05T01:42:30.617378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687caff71298cb2a7e76d6b4a6cc6ae014ff6c5482f35ff9e6e5944ee7f622e8

Aliases

arxiv: 1804.08028 · arxiv_version: 1804.08028v4 · doi: 10.48550/arxiv.1804.08028 · pith_short_12: NB6K75YSTDFS · pith_short_16: NB6K75YSTDFSU7TW · pith_short_8: NB6K75YS

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/NB6K75YSTDFSU7TW222KNTDK4A \
  | 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: 687caff71298cb2a7e76d6b4a6cc6ae014ff6c5482f35ff9e6e5944ee7f622e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7541c3c0ed5c2b56ff12287dfdbe35cced87f0c87ba24c43e8f0a42b32ffd0a9",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-21T21:01:17Z",
    "title_canon_sha256": "bd83bacc98a075747bf91192ae5bb56b0f86bb79e50ff95c9c26030acb0359ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08028",
    "kind": "arxiv",
    "version": 4
  }
}