Pith Number

pith:TABUWPSP

pith:2017:TABUWPSPPASXDYDPM7R5QLBQ4F

not attested not anchored not stored refs pending

Refinements of Lagrange's four-square theorem

Leo Goldmakher, Paul Pollack

arxiv:1703.03092 v1 · 2017-03-09 · 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{TABUWPSPPASXDYDPM7R5QLBQ4F}

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	2026-05-18T00:49:01.589154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98034b3e4f782571e06f67e3d82c30e1464b1f6cd118268d1b301f859073cd59

Aliases

arxiv: 1703.03092 · arxiv_version: 1703.03092v1 · doi: 10.48550/arxiv.1703.03092 · pith_short_12: TABUWPSPPASX · pith_short_16: TABUWPSPPASXDYDP · pith_short_8: TABUWPSP

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/TABUWPSPPASXDYDPM7R5QLBQ4F \
  | 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: 98034b3e4f782571e06f67e3d82c30e1464b1f6cd118268d1b301f859073cd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72da2bc25bed436a8943f15fe7a4c6c5cfd656fc9c8ef2f7d9ecb45ace5a8de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-09T01:05:14Z",
    "title_canon_sha256": "3bdecc1b1d5b534d9448f0ac61304a0c497334531bdef92ac4b4844150fcb398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03092",
    "kind": "arxiv",
    "version": 1
  }
}