Pith Number

pith:IBEQ6HQY

pith:2006:IBEQ6HQY6JIWG4EC3PEBNEER2G

not attested not anchored not stored refs pending

Some explicit constructions of sets with more sums than differences

Peter Hegarty

arxiv:math/0611582 v2 · 2006-11-19 · math.NT · 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{IBEQ6HQY6JIWG4EC3PEBNEER2G}

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	2026-05-18T01:38:23.566258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40490f1e18f251637082dbc8169091d18e465667aa6b1f23a5df145da193b7da

Aliases

arxiv: math/0611582 · arxiv_version: math/0611582v2 · doi: 10.48550/arxiv.math/0611582 · pith_short_12: IBEQ6HQY6JIW · pith_short_16: IBEQ6HQY6JIWG4EC · pith_short_8: IBEQ6HQY

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/IBEQ6HQY6JIWG4EC3PEBNEER2G \
  | 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: 40490f1e18f251637082dbc8169091d18e465667aa6b1f23a5df145da193b7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51b13ad956dbc18a63f14ca998733658e32f88d0c555484ee4a04a555e8e14a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-11-19T20:23:47Z",
    "title_canon_sha256": "9d45905f16316c3584a54a40c7a376d975a0e2c3464d0955a4dfd2df6fb99616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611582",
    "kind": "arxiv",
    "version": 2
  }
}