Pith Number

pith:HWXW6LPK

pith:2013:HWXW6LPKNWSJ5VWYD33PUWTZC5

not attested not anchored not stored refs pending

Sequences defined by h-vectors

Branden Stone, Thomas Enkosky

arxiv:1308.4945 v2 · 2013-08-22 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWXW6LPKNWSJ5VWYD33PUWTZC5}

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	2026-05-18T03:14:51.629343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3daf6f2dea6da49ed6d81ef6fa5a791752f042a01f32442ff9dc0c2c8be5c6dc

Aliases

arxiv: 1308.4945 · arxiv_version: 1308.4945v2 · doi: 10.48550/arxiv.1308.4945 · pith_short_12: HWXW6LPKNWSJ · pith_short_16: HWXW6LPKNWSJ5VWY · pith_short_8: HWXW6LPK

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/HWXW6LPKNWSJ5VWYD33PUWTZC5 \
  | 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: 3daf6f2dea6da49ed6d81ef6fa5a791752f042a01f32442ff9dc0c2c8be5c6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe827c1bf953513f2afe0ac1e21c0f1de2fccc4612467abc56606e78c1381790",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-22T18:32:02Z",
    "title_canon_sha256": "ccba82815c9f5fe044034702924a3188a0ee19ad9b9b0bfb332d3003c26d9d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4945",
    "kind": "arxiv",
    "version": 2
  }
}