Pith Number

pith:WYDL3MZ5

pith:2007:WYDL3MZ5S7IQ56HY3BCVHCVO47

not attested not anchored not stored refs pending

Properties of two dimensional sets with small sumset

David J. Grynkiewicz, Oriol Serra

arxiv:0710.3127 v1 · 2007-10-16 · math.CO · 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{WYDL3MZ5S7IQ56HY3BCVHCVO47}

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	2026-07-04T15:04:58.857634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b606bdb33d97d10ef8f8d845538aaee7fa92bddcceb61b24dcee7c1c19a05311

Aliases

arxiv: 0710.3127 · arxiv_version: 0710.3127v1 · doi: 10.48550/arxiv.0710.3127 · pith_short_12: WYDL3MZ5S7IQ · pith_short_16: WYDL3MZ5S7IQ56HY · pith_short_8: WYDL3MZ5

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/WYDL3MZ5S7IQ56HY3BCVHCVO47 \
  | 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: b606bdb33d97d10ef8f8d845538aaee7fa92bddcceb61b24dcee7c1c19a05311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ef7846a65ccca407518cf21f1b2c3a17eb9389dc58cd9721002fd3bd42a57d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-16T17:01:35Z",
    "title_canon_sha256": "144033182db034bc008f8887b579ff034b45c8a97687547692ad09fc141ab245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3127",
    "kind": "arxiv",
    "version": 1
  }
}