Pith Number

pith:PHB6ZEGY

pith:2017:PHB6ZEGY4AXTSRLTLP7JBP5H5K

not attested not anchored not stored refs pending

The genesis of involutions (polarizations and lattice paths)

Mahir Bilen Can, \"Ozlem U\u{g}urlu

arxiv:1703.09881 v2 · 2017-03-29 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHB6ZEGY4AXTSRLTLP7JBP5H5K}

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	2026-05-18T00:21:51.349198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c3ec90d8e02f3945735bfe90bfa7eaad249d9b482de98db1adce106c11aab8

Aliases

arxiv: 1703.09881 · arxiv_version: 1703.09881v2 · doi: 10.48550/arxiv.1703.09881 · pith_short_12: PHB6ZEGY4AXT · pith_short_16: PHB6ZEGY4AXTSRLT · pith_short_8: PHB6ZEGY

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/PHB6ZEGY4AXTSRLTLP7JBP5H5K \
  | 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: 79c3ec90d8e02f3945735bfe90bfa7eaad249d9b482de98db1adce106c11aab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4e5b5108d064b7ffe0e88132be9bb6ae6c704e3d65c32a97416754047c4a6c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-29T04:23:09Z",
    "title_canon_sha256": "51a529aed5f82df1cbc236e77a40b8cdda19b36b02e307fdd1e52c4fc4f71ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09881",
    "kind": "arxiv",
    "version": 2
  }
}