Pith Number

pith:JS7BOTTJ

pith:2013:JS7BOTTJ7ZZZVES3MTG2QIWMO5

not attested not anchored not stored refs pending

Bounds for generalized Sidon sets

Craig Timmons, Rafael Tesoro, Xing Peng

arxiv:1311.2985 v1 · 2013-11-12 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JS7BOTTJ7ZZZVES3MTG2QIWMO5}

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	2026-05-18T03:07:13.484422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cbe174e69fe739a925b64cda822cc777e359124dfb379f6bd887fec9a1edc15

Aliases

arxiv: 1311.2985 · arxiv_version: 1311.2985v1 · doi: 10.48550/arxiv.1311.2985 · pith_short_12: JS7BOTTJ7ZZZ · pith_short_16: JS7BOTTJ7ZZZVES3 · pith_short_8: JS7BOTTJ

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/JS7BOTTJ7ZZZVES3MTG2QIWMO5 \
  | 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: 4cbe174e69fe739a925b64cda822cc777e359124dfb379f6bd887fec9a1edc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf33e78e23ecaef7b21b0a927f61160da01f9c925ed22e96885d3cfb528f1de6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-12T23:59:48Z",
    "title_canon_sha256": "3904ffeaf61c12139b07641ff57b61556fa053b493ea09ed29b72edc435e473e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2985",
    "kind": "arxiv",
    "version": 1
  }
}