Pith Number

pith:7IXQA4XG

pith:2013:7IXQA4XGHBXT4HUNTL6PMTJ4JV

not attested not anchored not stored refs pending

Grimm's Conjecture and Smooth Numbers

Ram Murty, Shanta Laishram

arxiv:1306.0765 v1 · 2013-06-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IXQA4XGHBXT4HUNTL6PMTJ4JV}

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	2026-05-18T03:21:44.934738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2f0072e6386f3e1e8d9afcf64d3c4d72e7771326853bc381a26329c12ac73e

Aliases

arxiv: 1306.0765 · arxiv_version: 1306.0765v1 · doi: 10.48550/arxiv.1306.0765 · pith_short_12: 7IXQA4XGHBXT · pith_short_16: 7IXQA4XGHBXT4HUN · pith_short_8: 7IXQA4XG

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/7IXQA4XGHBXT4HUNTL6PMTJ4JV \
  | 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: fa2f0072e6386f3e1e8d9afcf64d3c4d72e7771326853bc381a26329c12ac73e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d089592ec82480ba46950ab23ab8cc27038e6f515d7c58008fe2edfa9497171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-04T12:56:55Z",
    "title_canon_sha256": "56714ca537429c7b004513276198455274f8f2af09a3a2e0b1aa5fd63437de71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0765",
    "kind": "arxiv",
    "version": 1
  }
}