Pith Number

pith:AWVDMVIF

pith:2017:AWVDMVIFKD7IA2NJ6OVHZ56RYZ

not attested not anchored not stored refs pending

Cutoff for Ramanujan graphs via degree inflation

Jonathan Hermon

arxiv:1702.08034 v3 · 2017-02-26 · math.PR · 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{AWVDMVIFKD7IA2NJ6OVHZ56RYZ}

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	2026-05-18T00:26:01.061801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05aa36550550fe8069a9f3aa7cf7d1c64cdf60dcf1c6ab135f68b961a83f2619

Aliases

arxiv: 1702.08034 · arxiv_version: 1702.08034v3 · doi: 10.48550/arxiv.1702.08034 · pith_short_12: AWVDMVIFKD7I · pith_short_16: AWVDMVIFKD7IA2NJ · pith_short_8: AWVDMVIF

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/AWVDMVIFKD7IA2NJ6OVHZ56RYZ \
  | 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: 05aa36550550fe8069a9f3aa7cf7d1c64cdf60dcf1c6ab135f68b961a83f2619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2daa325763b00b9e699551e75ac75a20ce72d432a6e70f596344abc75b1a09a6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-26T14:01:02Z",
    "title_canon_sha256": "8d3897111f37b39997c69a4f178e87e4bbccf34c27f8db143dafc3c9763c67e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08034",
    "kind": "arxiv",
    "version": 3
  }
}