Pith Number

pith:6FMAMSPT

pith:2011:6FMAMSPT2IVIV6N2SDY4YL4D6H

not attested not anchored not stored refs pending

Counting Smooth Solutions to the Equation A+B=C

J. C. Lagarias, K. Soundararajan

arxiv:1102.4911 v2 · 2011-02-24 · 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{6FMAMSPT2IVIV6N2SDY4YL4D6H}

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	2026-05-18T02:58:01.167991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1580649f3d22a8af9ba90f1cc2f83f1e263c497d44ebab98083ece5e8d21ff1

Aliases

arxiv: 1102.4911 · arxiv_version: 1102.4911v2 · doi: 10.48550/arxiv.1102.4911 · pith_short_12: 6FMAMSPT2IVI · pith_short_16: 6FMAMSPT2IVIV6N2 · pith_short_8: 6FMAMSPT

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/6FMAMSPT2IVIV6N2SDY4YL4D6H \
  | 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: f1580649f3d22a8af9ba90f1cc2f83f1e263c497d44ebab98083ece5e8d21ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d449edb0a405c25476b28dedbadc8f7a7410cb3a3722b5f3632d5e32708ce012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-24T06:11:13Z",
    "title_canon_sha256": "5fa8c9a8c9d720de688d47f1723d4cd46630b525a045c96f1b5afa6aa9c36635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4911",
    "kind": "arxiv",
    "version": 2
  }
}