Pith Number

pith:PUK7HRU6

pith:2014:PUK7HRU6Q3CIC7JRMCXGOWG3WM

not attested not anchored not stored refs pending

Spectrum and combinatorics of two-dimensional Ramanujan complexes

Konstantin Golubev, Ori Parzanchevski

arxiv:1406.6666 v3 · 2014-06-25 · math.CO · math.RT · 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{PUK7HRU6Q3CIC7JRMCXGOWG3WM}

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	2026-05-17T23:44:38.561847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d15f3c69e86c4817d3160ae6758dbb3368dd941e24f374788738751c00dade7

Aliases

arxiv: 1406.6666 · arxiv_version: 1406.6666v3 · doi: 10.48550/arxiv.1406.6666 · pith_short_12: PUK7HRU6Q3CI · pith_short_16: PUK7HRU6Q3CIC7JR · pith_short_8: PUK7HRU6

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/PUK7HRU6Q3CIC7JRMCXGOWG3WM \
  | 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: 7d15f3c69e86c4817d3160ae6758dbb3368dd941e24f374788738751c00dade7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4bded628aef268b4dd87fab1feaed1de9024b8f206e4b244e2da34e3461c61",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-25T18:59:29Z",
    "title_canon_sha256": "c43220b12e1d67655beb52dc0127981aede0b38c4e66772ca1d10d72c0d4189d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6666",
    "kind": "arxiv",
    "version": 3
  }
}