Pith Number

pith:5XBE7UPW

pith:2018:5XBE7UPWMYSFPJAF5OVKR22YUE

not attested not anchored not stored refs pending

A Construction for Difference Sets with Local Properties

Adam Sheffer, Ben Lund, Sara Fish

arxiv:1812.07651 v1 · 2018-12-18 · 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{5XBE7UPWMYSFPJAF5OVKR22YUE}

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	2026-05-17T23:57:30.490402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edc24fd1f6662457a405ebaaa8eb58a11c1943f50c25ec74d653f1d543aa1180

Aliases

arxiv: 1812.07651 · arxiv_version: 1812.07651v1 · doi: 10.48550/arxiv.1812.07651 · pith_short_12: 5XBE7UPWMYSF · pith_short_16: 5XBE7UPWMYSFPJAF · pith_short_8: 5XBE7UPW

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/5XBE7UPWMYSFPJAF5OVKR22YUE \
  | 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: edc24fd1f6662457a405ebaaa8eb58a11c1943f50c25ec74d653f1d543aa1180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37880f2b7fcd5d74de5031b605e5b5c7b9cab291b8f62ae8f3fa7c8571dbf9a3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-18T21:41:54Z",
    "title_canon_sha256": "9d1cf8037268744a6d7e148fb4cbb06f6ca4437d5c25f5f570ed761aed12881d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07651",
    "kind": "arxiv",
    "version": 1
  }
}