Pith Number

pith:FA4LGOO6

pith:2015:FA4LGOO6DXZJXYMR4R5G2HMXNJ

not attested not anchored not stored refs pending

Representations of integers by systems of three quadratic forms

Damaris Schindler, Lillian B. Pierce, Melanie Matchett Wood

arxiv:1509.04757 v2 · 2015-09-15 · 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{FA4LGOO6DXZJXYMR4R5G2HMXNJ}

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	2026-05-18T00:41:08.381519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2838b339de1df29be191e47a6d1d976a5d7d2201cd3205d0c397d6bc993ada25

Aliases

arxiv: 1509.04757 · arxiv_version: 1509.04757v2 · doi: 10.48550/arxiv.1509.04757 · pith_short_12: FA4LGOO6DXZJ · pith_short_16: FA4LGOO6DXZJXYMR · pith_short_8: FA4LGOO6

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/FA4LGOO6DXZJXYMR4R5G2HMXNJ \
  | 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: 2838b339de1df29be191e47a6d1d976a5d7d2201cd3205d0c397d6bc993ada25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "268916d3e9bcd4b2188669e92580587328f5623c6dcc06f119d5da44fc7902d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-15T22:07:08Z",
    "title_canon_sha256": "b0ada15db0fd7cd0f015c8403cab9ddf86fba6f1d4ca25a3179fec2466275de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04757",
    "kind": "arxiv",
    "version": 2
  }
}