Pith Number

pith:2D56HHZE

pith:2017:2D56HHZEDP7P35IDH3HNGCXYYS

not attested not anchored not stored refs pending

On product of difference sets for sets of positive density

Alexander Fish

arxiv:1702.02544 v2 · 2017-02-08 · math.DS · 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{2D56HHZEDP7P35IDH3HNGCXYYS}

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	2026-05-18T00:50:51.641072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fbe39f241bfefdf5033eced30af8c4b51183e090c368628e86b8f0d3162fea

Aliases

arxiv: 1702.02544 · arxiv_version: 1702.02544v2 · doi: 10.48550/arxiv.1702.02544 · pith_short_12: 2D56HHZEDP7P · pith_short_16: 2D56HHZEDP7P35ID · pith_short_8: 2D56HHZE

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/2D56HHZEDP7P35IDH3HNGCXYYS \
  | 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: d0fbe39f241bfefdf5033eced30af8c4b51183e090c368628e86b8f0d3162fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164adf0dde33276a57d8ae186ba07a70fdab12cd67bcb9d7fe3df3776a8708e5",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-08T17:55:14Z",
    "title_canon_sha256": "66fb5ae2d0c28c41ef5022dd20e7a5755fc1df208bb3966decbac29080e75377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02544",
    "kind": "arxiv",
    "version": 2
  }
}