Pith Number

pith:ZENA6H3D

pith:2007:ZENA6H3DVL4OPH5CAA5OHLDTXK

not attested not anchored not stored refs pending

On the number of topological types occurring in a parametrized family of arrangements

Saugata Basu

arxiv:0704.0295 v3 · 2007-04-03 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZENA6H3DVL4OPH5CAA5OHLDTXK}

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	2026-05-18T04:28:21.965083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91a0f1f63aaf8e79fa2003ae3ac73baa6477857623c9d9de31dc36e2b8e85e7

Aliases

arxiv: 0704.0295 · arxiv_version: 0704.0295v3 · doi: 10.48550/arxiv.0704.0295 · pith_short_12: ZENA6H3DVL4O · pith_short_16: ZENA6H3DVL4OPH5C · pith_short_8: ZENA6H3D

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/ZENA6H3DVL4OPH5CAA5OHLDTXK \
  | 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: c91a0f1f63aaf8e79fa2003ae3ac73baa6477857623c9d9de31dc36e2b8e85e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55fa45542cab1c6642d97ced3f1fc6d281c1850130434218cff2c922684affcc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-04-03T05:51:58Z",
    "title_canon_sha256": "7016a5fa196afd070048ffcf9a075a55a5d6e546d952eca99ec0cc64e8bdff8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0295",
    "kind": "arxiv",
    "version": 3
  }
}