Pith Number

pith:HVD4XY3O

pith:2007:HVD4XY3OSPHSS226TBOBYSD6IC

not attested not anchored not stored refs pending

The Multidimensional Cube Recurrence

Andre Henriques, David E. Speyer

arxiv:0708.2478 v3 · 2007-08-20 · 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{HVD4XY3OSPHSS226TBOBYSD6IC}

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.

Cited by

1 paper in Pith

Octagon and tropical octagon yield braid invariants

Receipt and verification

First computed	2026-07-04T15:50:18.474200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d47cbe36e93cf296b5e985c1c487e408c298ac250665117308a3a66520002e0

Aliases

arxiv: 0708.2478 · arxiv_version: 0708.2478v3 · doi: 10.48550/arxiv.0708.2478 · pith_short_12: HVD4XY3OSPHS · pith_short_16: HVD4XY3OSPHSS226 · pith_short_8: HVD4XY3O

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/HVD4XY3OSPHSS226TBOBYSD6IC \
  | 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: 3d47cbe36e93cf296b5e985c1c487e408c298ac250665117308a3a66520002e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf71c6270a2f63fca52d86a5bd0dd14e432229aab37e85b4e011701c40a6a3b8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-08-20T18:19:14Z",
    "title_canon_sha256": "1cd55d0112f7b461d7330fb7f4b9ae7a4dfdab0da19a6cd593926f8432f89b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2478",
    "kind": "arxiv",
    "version": 3
  }
}