Pith Number

pith:TFVDJ6VZ

pith:2010:TFVDJ6VZEODOJ2PU7E3XZAIHP6

not attested not anchored not stored refs pending

Triangulations of $\Delta_{n-1} \times \Delta_{d-1}$ and Tropical Oriented Matroids

Hwanchul Yoo, Suho Oh

arxiv:1009.4750 v3 · 2010-09-24 · 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{TFVDJ6VZEODOJ2PU7E3XZAIHP6}

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	2026-05-18T04:36:10.226495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996a34fab92386e4e9f4f9377c81077f8046060f89657a0e51942981ad3394e6

Aliases

arxiv: 1009.4750 · arxiv_version: 1009.4750v3 · doi: 10.48550/arxiv.1009.4750 · pith_short_12: TFVDJ6VZEODO · pith_short_16: TFVDJ6VZEODOJ2PU · pith_short_8: TFVDJ6VZ

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/TFVDJ6VZEODOJ2PU7E3XZAIHP6 \
  | 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: 996a34fab92386e4e9f4f9377c81077f8046060f89657a0e51942981ad3394e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfe7f678cc65ce6f5ccee5049a6a7cf3b3b52cc6797f18a21be99a7f7a1d641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-24T02:06:44Z",
    "title_canon_sha256": "d2d6c03795410e2343cdc77e3fe58cac07847a83cbae4a090bbaf4615ff32cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4750",
    "kind": "arxiv",
    "version": 3
  }
}