Pith Number

pith:SNGGWYV3

pith:2016:SNGGWYV3HZAV5R4ZIUF64B4CJW

not attested not anchored not stored refs pending

On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6

Anup Kumar Singh, B. Ramakrishnan, Brundaban Sahu

arxiv:1607.03809 v3 · 2016-07-13 · 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{SNGGWYV3HZAV5R4ZIUF64B4CJW}

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	2026-05-18T00:41:51.358535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934c6b62bb3e415ec799450bee07824d87699a31a056e32d2d3481d10426a232

Aliases

arxiv: 1607.03809 · arxiv_version: 1607.03809v3 · doi: 10.48550/arxiv.1607.03809 · pith_short_12: SNGGWYV3HZAV · pith_short_16: SNGGWYV3HZAV5R4Z · pith_short_8: SNGGWYV3

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/SNGGWYV3HZAV5R4ZIUF64B4CJW \
  | 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: 934c6b62bb3e415ec799450bee07824d87699a31a056e32d2d3481d10426a232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d244996922a6c7ca549db0306a66913330dc6ce0455018e2e5c5502b1451eae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-13T16:08:53Z",
    "title_canon_sha256": "c6b50607ad3d696dbf4592250a7781ac928c96441b1f7ab585579f1a37427d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03809",
    "kind": "arxiv",
    "version": 3
  }
}