Pith Number

pith:WFW22GZ6

pith:2014:WFW22GZ6KL4KEFRAKTTA7XY5KC

not attested not anchored not stored refs pending

Enumeration of strong dichotomy patterns

Octavio A. Agust\'in-Aquino

arxiv:1406.3415 v4 · 2014-06-13 · 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{WFW22GZ6KL4KEFRAKTTA7XY5KC}

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	2026-05-18T00:05:08.196923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16dad1b3e52f8a2162054e60fdf1d509807e36e240931820ba5bf03502fc480

Aliases

arxiv: 1406.3415 · arxiv_version: 1406.3415v4 · doi: 10.48550/arxiv.1406.3415 · pith_short_12: WFW22GZ6KL4K · pith_short_16: WFW22GZ6KL4KEFRA · pith_short_8: WFW22GZ6

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/WFW22GZ6KL4KEFRAKTTA7XY5KC \
  | 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: b16dad1b3e52f8a2162054e60fdf1d509807e36e240931820ba5bf03502fc480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f94051a96a6c0e9083e0acf6740d12e153c755f59d228d76ac35d2fb523c3d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-13T04:19:01Z",
    "title_canon_sha256": "6f0c72e7b2fc8c935106d32298624ea08a760e772331aaf6cd4eb7e35904c2a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3415",
    "kind": "arxiv",
    "version": 4
  }
}