Pith Number

pith:47U33VB6

pith:2008:47U33VB6XVZNDSUOIWWMKAYLPR

not attested not anchored not stored refs pending

Linear free divisors and Frobenius manifolds

Christian Sevenheck, David Mond, Ignacio de Gregorio

arxiv:0802.4188 v4 · 2008-02-28 · 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{47U33VB6XVZNDSUOIWWMKAYLPR}

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	2026-05-17T23:53:20.211842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e9bdd43ebd72d1ca8e45acc5030b7c71785e0eb1982a0cd718d7cb01a92625

Aliases

arxiv: 0802.4188 · arxiv_version: 0802.4188v4 · doi: 10.48550/arxiv.0802.4188 · pith_short_12: 47U33VB6XVZN · pith_short_16: 47U33VB6XVZNDSUO · pith_short_8: 47U33VB6

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/47U33VB6XVZNDSUOIWWMKAYLPR \
  | 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: e7e9bdd43ebd72d1ca8e45acc5030b7c71785e0eb1982a0cd718d7cb01a92625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f8796c538034ac6eeb463d4d21c6ca36800f1b86952b36dd9043e34235642b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-28T12:32:18Z",
    "title_canon_sha256": "6252b68a47b72ce908c887b181d070c69d93a76043dbdf320760c2c5aa8c9264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4188",
    "kind": "arxiv",
    "version": 4
  }
}