Pith Number

pith:J6BUFDGG

pith:2007:J6BUFDGGJ5HIJ4Q2UQ7XWNNTQ3

not attested not anchored not stored refs pending

Sum-free subsets of finite abelian groups of type III

D.S. Ramana, Gyan Prakash, R. Balasubramanian

arxiv:0711.4317 v4 · 2007-11-27 · 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{J6BUFDGGJ5HIJ4Q2UQ7XWNNTQ3}

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	2026-05-18T01:13:05.352790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f83428cc64f4e84f21aa43f7b35b386df911497026554a53b0c85d5b94fa146

Aliases

arxiv: 0711.4317 · arxiv_version: 0711.4317v4 · doi: 10.48550/arxiv.0711.4317 · pith_short_12: J6BUFDGGJ5HI · pith_short_16: J6BUFDGGJ5HIJ4Q2 · pith_short_8: J6BUFDGG

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/J6BUFDGGJ5HIJ4Q2UQ7XWNNTQ3 \
  | 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: 4f83428cc64f4e84f21aa43f7b35b386df911497026554a53b0c85d5b94fa146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8021513605ccdd82c247c4d6f7b84b691aef6e95a9b0d2cb580aff5a8fedd36a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-11-27T18:49:06Z",
    "title_canon_sha256": "d91b02051e631cdbd7bdba3b66d918a66531fe210345888e345084e418c36af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4317",
    "kind": "arxiv",
    "version": 4
  }
}