Pith Number

pith:WR23OXIE

pith:2012:WR23OXIEOAYOQNHGNRVZ6IMMVT

not attested not anchored not stored refs pending

The inverse Erdos-Heilbronn Problem for restricted set addition in finite groups

Jeffrey Paul Wheeler, Steve Reich, Suren Jayasuriya

arxiv:1206.3966 v3 · 2012-06-18 · 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{WR23OXIEOAYOQNHGNRVZ6IMMVT}

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	2026-05-18T03:12:20.177247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b475b75d047030e834e66c6b9f218cacf1d4eec2acc9acdfca2500b3ede10186

Aliases

arxiv: 1206.3966 · arxiv_version: 1206.3966v3 · doi: 10.48550/arxiv.1206.3966 · pith_short_12: WR23OXIEOAYO · pith_short_16: WR23OXIEOAYOQNHG · pith_short_8: WR23OXIE

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/WR23OXIEOAYOQNHGNRVZ6IMMVT \
  | 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: b475b75d047030e834e66c6b9f218cacf1d4eec2acc9acdfca2500b3ede10186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354a26e1c86a1c3ed4d063492eab6e8f299d061b18324e585a19b786f062e073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-18T15:25:57Z",
    "title_canon_sha256": "4d8bc0680f5c31e24e2d0d96821d67f9347a5f4c81482af90e861cb78f195c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3966",
    "kind": "arxiv",
    "version": 3
  }
}