Pith Number

pith:LASUAA3H

pith:2012:LASUAA3HRYHADDITJKGARBDP2X

not attested not anchored not stored refs pending

Symplectic 4-manifolds with fixed point free circle actions

Jonathan Bowden

arxiv:1206.0458 v2 · 2012-06-03 · math.GT · 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{LASUAA3HRYHADDITJKGARBDP2X}

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	2026-05-18T03:28:06.033797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58254003678e0e018d134a8c08846fd5fa49da7590aab76d0a2aa768c124cd96

Aliases

arxiv: 1206.0458 · arxiv_version: 1206.0458v2 · doi: 10.48550/arxiv.1206.0458 · pith_short_12: LASUAA3HRYHA · pith_short_16: LASUAA3HRYHADDIT · pith_short_8: LASUAA3H

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/LASUAA3HRYHADDITJKGARBDP2X \
  | 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: 58254003678e0e018d134a8c08846fd5fa49da7590aab76d0a2aa768c124cd96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9f29f521650b8ba66fce1a5c5ebefd46085038d80e7c49d98b58ae00eb9909",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-03T16:12:17Z",
    "title_canon_sha256": "ea5ed072b2f624cbb73bb89c96be25dc10d3c0d48897b022cc4986d4f889a18e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0458",
    "kind": "arxiv",
    "version": 2
  }
}