Pith Number

pith:L6GHDY55

pith:2024:L6GHDY55CMYA5M76B2S27JNZJF

not attested not anchored not stored refs pending

Higher-rank trees arising from polyhedral graphs

David Pask

arxiv:2407.14048 v3 · 2024-07-19 · math.CO · math.CT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6GHDY55CMYA5M76B2S27JNZJF}

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	2026-06-02T02:04:04.310217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8c71e3bd13300eb3fe0ea5afa5b9496933c537d77ddb3bb2912ee26067a5a6

Aliases

arxiv: 2407.14048 · arxiv_version: 2407.14048v3 · doi: 10.48550/arxiv.2407.14048 · pith_short_12: L6GHDY55CMYA · pith_short_16: L6GHDY55CMYA5M76 · pith_short_8: L6GHDY55

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/L6GHDY55CMYA5M76B2S27JNZJF \
  | 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: 5f8c71e3bd13300eb3fe0ea5afa5b9496933c537d77ddb3bb2912ee26067a5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9081581c8634fd2d5b2905603cfeae5fca2d7234a6860b4a91d02691f2d8f760",
    "cross_cats_sorted": [
      "math.CT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-19T06:03:26Z",
    "title_canon_sha256": "e893aa00b7be1732012d4afd2babb22c67ce30a7e8b7d3ca57174553114acae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.14048",
    "kind": "arxiv",
    "version": 3
  }
}