Pith Number

pith:SPHBDHXT

pith:2019:SPHBDHXTLIYCT2HX5RVRGEGDOR

not attested not anchored not stored refs pending

Small representations of integers by integral quadratic forms

Lenny Fukshansky, Wai Kiu Chan

arxiv:1903.05123 v1 · 2019-03-12 · 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{SPHBDHXTLIYCT2HX5RVRGEGDOR}

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	2026-05-17T23:51:25.400173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ce119ef35a3029e8f7ec6b1310c3746817d604bb4f719cfe9fca8ce41aedcf

Aliases

arxiv: 1903.05123 · arxiv_version: 1903.05123v1 · doi: 10.48550/arxiv.1903.05123 · pith_short_12: SPHBDHXTLIYC · pith_short_16: SPHBDHXTLIYCT2HX · pith_short_8: SPHBDHXT

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/SPHBDHXTLIYCT2HX5RVRGEGDOR \
  | 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: 93ce119ef35a3029e8f7ec6b1310c3746817d604bb4f719cfe9fca8ce41aedcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30460433957732f51028e98f3723da82c38d0132c3dc2711b27b9490a8fd7eeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-12T18:11:41Z",
    "title_canon_sha256": "e7acb14fa5930b426f7fd1d14bef6b3cee2aa09a45fd250eae8c1a36f8e07245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05123",
    "kind": "arxiv",
    "version": 1
  }
}