Pith Number

pith:6DMUR3J5

pith:2007:6DMUR3J5Y7ABHVUX6FW4V55HNC

not attested not anchored not stored refs pending

Combinatorial Morse theory and minimality of hyperplane arrangements

Mario Salvetti, Simona Settepanella

arxiv:0705.2874 v1 · 2007-05-21 · math.AT · 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{6DMUR3J5Y7ABHVUX6FW4V55HNC}

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	2026-05-18T02:38:19.489904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d948ed3dc7c013d697f16dcaf7a768b383f1ed5fbee2f39f75b24fe3b0b0b2

Aliases

arxiv: 0705.2874 · arxiv_version: 0705.2874v1 · doi: 10.48550/arxiv.0705.2874 · pith_short_12: 6DMUR3J5Y7AB · pith_short_16: 6DMUR3J5Y7ABHVUX · pith_short_8: 6DMUR3J5

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/6DMUR3J5Y7ABHVUX6FW4V55HNC \
  | 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: f0d948ed3dc7c013d697f16dcaf7a768b383f1ed5fbee2f39f75b24fe3b0b0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319ff3a07b4fc1823bd36e7ee8544d5b4dd56a22185bcf4f2c579ae1fc0eb5c8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-05-21T12:07:51Z",
    "title_canon_sha256": "bf0aa202a9dc56057f6bf1d7ef45ff7a1ac10e2ecd16d1ba52a62db8d1b8a651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2874",
    "kind": "arxiv",
    "version": 1
  }
}