Pith Number

pith:GBHTQTRM

pith:2002:GBHTQTRME7S7ZBTAE4WUZU2CBL

not attested not anchored not stored refs pending

Periodic Floer pro-spectra from the Seiberg-Witten equations

Ciprian Manolescu, Peter B. Kronheimer

arxiv:math/0203243 v3 · 2002-03-23 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBHTQTRME7S7ZBTAE4WUZU2CBL}

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.

Cited by

1 paper in Pith

Gauge theory for families

Receipt and verification

First computed	2026-05-18T03:00:15.120278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304f384e2c27e5fc8660272d4cd3420ac693f71bc7a855c67c8d733d84da3975

Aliases

arxiv: math/0203243 · arxiv_version: math/0203243v3 · doi: 10.48550/arxiv.math/0203243 · pith_short_12: GBHTQTRME7S7 · pith_short_16: GBHTQTRME7S7ZBTA · pith_short_8: GBHTQTRM

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/GBHTQTRME7S7ZBTAE4WUZU2CBL \
  | 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: 304f384e2c27e5fc8660272d4cd3420ac693f71bc7a855c67c8d733d84da3975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf8771085bde99b6a74194a2e71d1324c3f9281eab544fa5c0421d296a25f1d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2002-03-23T00:09:25Z",
    "title_canon_sha256": "f333c930875f1f850689b09ba3a1340f96c9ed1ea73ab5f20533f9266e3f22d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203243",
    "kind": "arxiv",
    "version": 3
  }
}