Pith Number

pith:4O7KTFHP

pith:2012:4O7KTFHPZIZ2SXDZPF2OU2TG2Z

not attested not anchored not stored refs pending

A Diophantine problem with prime variables

Alessandro Languasco, Alessandro Zaccagnini

arxiv:1206.0252 v1 · 2012-06-01 · 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{4O7KTFHPZIZ2SXDZPF2OU2TG2Z}

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	2026-05-18T01:12:31.089090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3bea994efca33a95c797974ea6a66d6431d8985368e1b32e0d25e6806da7f78

Aliases

arxiv: 1206.0252 · arxiv_version: 1206.0252v1 · doi: 10.48550/arxiv.1206.0252 · pith_short_12: 4O7KTFHPZIZ2 · pith_short_16: 4O7KTFHPZIZ2SXDZ · pith_short_8: 4O7KTFHP

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/4O7KTFHPZIZ2SXDZPF2OU2TG2Z \
  | 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: e3bea994efca33a95c797974ea6a66d6431d8985368e1b32e0d25e6806da7f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31328440f253c6ca2a1ec37f7999252eb75f06ea3af305c3ffc6353c26e98836",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-01T17:14:55Z",
    "title_canon_sha256": "3ee2f83d4d4ab48d48b225a88bc967c2804a8f655d99cb43541e7b6c2ddf4eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0252",
    "kind": "arxiv",
    "version": 1
  }
}