Pith Number

pith:M46KE5JA

pith:2016:M46KE5JACIEUSQCRRE4FFBCVLJ

not attested not anchored not stored refs pending

On the number of nonnegative solutions of a system of linear Diophantine equations

Kamil Bradler

arxiv:1610.06387 v3 · 2016-10-20 · math-ph · math.MP · 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{M46KE5JACIEUSQCRRE4FFBCVLJ}

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	2026-05-18T00:56:30.474923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673ca27520120949405189385284555a7776752a6a3a9801afc1f8e53eb7a5fb

Aliases

arxiv: 1610.06387 · arxiv_version: 1610.06387v3 · doi: 10.48550/arxiv.1610.06387 · pith_short_12: M46KE5JACIEU · pith_short_16: M46KE5JACIEUSQCR · pith_short_8: M46KE5JA

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/M46KE5JACIEUSQCRRE4FFBCVLJ \
  | 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: 673ca27520120949405189385284555a7776752a6a3a9801afc1f8e53eb7a5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "090b62a73cff842ef2893d882e57dce7a37d94dc09ee07b9afea293b7c903a3a",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-20T12:58:37Z",
    "title_canon_sha256": "488684f29cb12e3d00a8632df2ac9ce3742f2b5158baaf3bc020ba9c8a69dd13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06387",
    "kind": "arxiv",
    "version": 3
  }
}