Pith Number

pith:G4SRU33G

pith:2025:G4SRU33GRGMQSC5IQRQ3JQVWFB

not attested not anchored not stored refs pending

Configurations of Lagrangian spheres in $K3$ surfaces

Juan Mu\~noz-Ech\'aniz

arxiv:2507.15039 v1 · 2025-07-20 · 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{G4SRU33GRGMQSC5IQRQ3JQVWFB}

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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

2 papers in Pith

Diffeomorphism groups and gauge theory for families

Gauge theory for families

Receipt and verification

First computed	2026-07-05T11:40:17.402934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37251a6f668999090ba88461b4c2b6286c26ea238be0d3f9260118e0cf1eb73f

Aliases

arxiv: 2507.15039 · arxiv_version: 2507.15039v1 · doi: 10.48550/arxiv.2507.15039 · pith_short_12: G4SRU33GRGMQ · pith_short_16: G4SRU33GRGMQSC5I · pith_short_8: G4SRU33G

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/G4SRU33GRGMQSC5IQRQ3JQVWFB \
  | 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: 37251a6f668999090ba88461b4c2b6286c26ea238be0d3f9260118e0cf1eb73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ac292071647fcc8898387d83bacc910ad383a312fe9a70e1ba81ca39df2ac4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-20T16:41:58Z",
    "title_canon_sha256": "d62429025acdefed52ca79802a8741dfc0ce0c9ddef82f996b9ec73c058abda3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15039",
    "kind": "arxiv",
    "version": 1
  }
}