Pith Number

pith:D3SZPMMG

pith:2016:D3SZPMMG7BYUCV4WNBFH3BDLCY

not attested not anchored not stored refs pending

Packing Sets

Arne Winterhof, Ilya D. Shkredov, Oliver Roche-Newton

arxiv:1611.00529 v2 · 2016-11-02 · 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{D3SZPMMG7BYUCV4WNBFH3BDLCY}

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	2026-05-18T00:45:06.336530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee597b186f871415796684a7d846b16097d348b29f051ef354fb5482c1269ca

Aliases

arxiv: 1611.00529 · arxiv_version: 1611.00529v2 · doi: 10.48550/arxiv.1611.00529 · pith_short_12: D3SZPMMG7BYU · pith_short_16: D3SZPMMG7BYUCV4W · pith_short_8: D3SZPMMG

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/D3SZPMMG7BYUCV4WNBFH3BDLCY \
  | 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: 1ee597b186f871415796684a7d846b16097d348b29f051ef354fb5482c1269ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c213449a6914335800c627daa71b444405485fa270178b455f029a8629494928",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-02T10:09:46Z",
    "title_canon_sha256": "12aac311b19f518cc217e6b2c9e4d1511fe3e42f68f425b42b5e2184d0bfe757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00529",
    "kind": "arxiv",
    "version": 2
  }
}