Pith Number

pith:FQLYFJR6

pith:2004:FQLYFJR6WB3KTTFIWAGDVX2PLI

not attested not anchored not stored refs pending

Invariants of Combinatorial Line Arrangements and Rybnikov's Example

E. Artal, J. Carmona, J.I. Cogolludo, M.A. Marco

arxiv:math/0403543 v1 · 2004-03-31 · math.AG · 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{FQLYFJR6WB3KTTFIWAGDVX2PLI}

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	2026-05-18T00:16:51.345147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1782a63eb076a9cca8b00c3adf4f5a1fa58054c4c46327f39d1f85d073a839

Aliases

arxiv: math/0403543 · arxiv_version: math/0403543v1 · doi: 10.48550/arxiv.math/0403543 · pith_short_12: FQLYFJR6WB3K · pith_short_16: FQLYFJR6WB3KTTFI · pith_short_8: FQLYFJR6

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/FQLYFJR6WB3KTTFIWAGDVX2PLI \
  | 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: 2c1782a63eb076a9cca8b00c3adf4f5a1fa58054c4c46327f39d1f85d073a839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821276ab49ccbf7683823ccf251924a397360d7aaec378f1208a48ef829f33a7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-03-31T15:48:42Z",
    "title_canon_sha256": "c3459eb9b01b34036721154f286e40df5ae4c81fa92fd5d6f455db0a61aaf150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403543",
    "kind": "arxiv",
    "version": 1
  }
}