Pith Number

pith:VQJDKFOR

pith:2019:VQJDKFOROF3NDTRESBAHKJAJOL

not attested not anchored not stored refs pending

High-girth near-Ramanujan graphs with localized eigenvectors

Nikhil Srivastava, Noga Alon, Shirshendu Ganguly

arxiv:1908.03694 v1 · 2019-08-10 · math.CO · cs.DM · math-ph · math.MP · 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{VQJDKFOROF3NDTRESBAHKJAJOL}

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	2026-07-04T23:53:17.313111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac123515d17176d1ce24904075240972cfbffd56d2945195e9f9de8f57d39e64

Aliases

arxiv: 1908.03694 · arxiv_version: 1908.03694v1 · doi: 10.48550/arxiv.1908.03694 · pith_short_12: VQJDKFOROF3N · pith_short_16: VQJDKFOROF3NDTRE · pith_short_8: VQJDKFOR

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/VQJDKFOROF3NDTRESBAHKJAJOL \
  | 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: ac123515d17176d1ce24904075240972cfbffd56d2945195e9f9de8f57d39e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14118c8dcacfaf339901627653ace2864b36ca9ba76c706ad3697049d0fad301",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-10T05:39:29Z",
    "title_canon_sha256": "5696bf20d7ef23fd780bc31eaab9715a8eb89670e3477e6dcf73090356795f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03694",
    "kind": "arxiv",
    "version": 1
  }
}