Pith Number

pith:VRFOFLBP

pith:2005:VRFOFLBPF7SW3SLGEKP6T6BOYT

not attested not anchored not stored refs pending

Circle and torus actions on equal symplectic blow-ups of CP^2

Liat Kessler, Yael Karshon

arxiv:math/0501011 v1 · 2005-01-02 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRFOFLBPF7SW3SLGEKP6T6BOYT}

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	2026-05-18T04:16:31.133207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4ae2ac2f2fe56dc966229fe9f82ec4d8fb92c8b2b35ea90a39c39fd2e6df31

Aliases

arxiv: math/0501011 · arxiv_version: math/0501011v1 · doi: 10.48550/arxiv.math/0501011 · pith_short_12: VRFOFLBPF7SW · pith_short_16: VRFOFLBPF7SW3SLG · pith_short_8: VRFOFLBP

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/VRFOFLBPF7SW3SLGEKP6T6BOYT \
  | 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: ac4ae2ac2f2fe56dc966229fe9f82ec4d8fb92c8b2b35ea90a39c39fd2e6df31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0329ac87dc09059c68308671cc63b1d47803f227363f3a5ca3bd3ae903a1e7e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2005-01-02T05:10:51Z",
    "title_canon_sha256": "f5fadda7ba05233892b4e67e7109599187ca6458942e1aa80e8ba707eb9e0917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501011",
    "kind": "arxiv",
    "version": 1
  }
}