Pith Number

pith:NAWIXROL

pith:2006:NAWIXROL5HCUYZ3BEUZ5VE56XB

not attested not anchored not stored refs pending

A compact symplectic four-manifold admits only finitely many inequivalent toric actions

Liat Kessler, Martin Pinsonnault, Yael Karshon

arxiv:math/0609043 v2 · 2006-09-01 · 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{NAWIXROL5HCUYZ3BEUZ5VE56XB}

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	2026-05-18T04:23:33.396486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682c8bc5cbe9c54c67612533da93beb87badcda06c362ba429e86f90478df392

Aliases

arxiv: math/0609043 · arxiv_version: math/0609043v2 · doi: 10.48550/arxiv.math/0609043 · pith_short_12: NAWIXROL5HCU · pith_short_16: NAWIXROL5HCUYZ3B · pith_short_8: NAWIXROL

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/NAWIXROL5HCUYZ3BEUZ5VE56XB \
  | 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: 682c8bc5cbe9c54c67612533da93beb87badcda06c362ba429e86f90478df392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd00c2179485d382123fc886a1c6a2e421255c5601189419cd75108227c1d7e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2006-09-01T21:26:12Z",
    "title_canon_sha256": "5a51e5e023212cbc9cddcc3e67b2404ecabedea9040736aa3714886b8a2cfcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609043",
    "kind": "arxiv",
    "version": 2
  }
}