Pith Number

pith:OTHZDOEW

pith:2026:OTHZDOEWVIE4C2TPQNWSPK3L7G

not attested not anchored not stored refs pending

Piercing Gilbreath's Conjecture: From Deep Number Theory Insights to Fintech and Cybersecurity

Vincent Granville

arxiv:2607.04166 v1 · 2026-07-05 · cs.CR · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTHZDOEWVIE4C2TPQNWSPK3L7G}

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	2026-07-07T02:19:00.592905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cf91b896aa09c16a6f836d27ab6bf99a32b111eb0e29429b910c4cf6b3c3c4

Aliases

arxiv: 2607.04166 · arxiv_version: 2607.04166v1 · doi: 10.48550/arxiv.2607.04166 · pith_short_12: OTHZDOEWVIE4 · pith_short_16: OTHZDOEWVIE4C2TP · pith_short_8: OTHZDOEW

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/OTHZDOEWVIE4C2TPQNWSPK3L7G \
  | 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: 74cf91b896aa09c16a6f836d27ab6bf99a32b111eb0e29429b910c4cf6b3c3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a00e199d927a7dd62189c089599c5a388386533df98c4bbead2b6519f3178b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2026-07-05T08:09:25Z",
    "title_canon_sha256": "87473c543fab8381aeef5c7078d5859bf45d1696ff60dd38597f6470904f0d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04166",
    "kind": "arxiv",
    "version": 1
  }
}