Pith Number

pith:PN3S3WDQ

pith:2018:PN3S3WDQ7P2UUGRF6IHXAII7T6

not attested not anchored not stored refs pending

Constructions of Primitive Formally Dual Pairs Having Subsets with Unequal Sizes

Alexander Pott, Shuxing Li

arxiv:1810.05433 v3 · 2018-10-12 · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PN3S3WDQ7P2UUGRF6IHXAII7T6}

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	2026-05-17T23:51:55.854483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b772dd870fbf54a1a25f20f70211f9f9f3240e138406fdb47b2a1e3a9a93ce5

Aliases

arxiv: 1810.05433 · arxiv_version: 1810.05433v3 · doi: 10.48550/arxiv.1810.05433 · pith_short_12: PN3S3WDQ7P2U · pith_short_16: PN3S3WDQ7P2UUGRF · pith_short_8: PN3S3WDQ

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/PN3S3WDQ7P2UUGRF6IHXAII7T6 \
  | 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: 7b772dd870fbf54a1a25f20f70211f9f9f3240e138406fdb47b2a1e3a9a93ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c47faedbfe873efd05e1464e75bed6e95d2c29fd48f96c27a842553b14c65b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-12T09:48:03Z",
    "title_canon_sha256": "28e14b12dc1a11ee2cb0dcbc9c580d49d6fe2965ec5a0588907fef165bc29af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05433",
    "kind": "arxiv",
    "version": 3
  }
}