Pith Number

pith:KAEFY7LX

pith:2008:KAEFY7LXTHRKLID5C7VOVFQKA6

not attested not anchored not stored refs pending

Immersed Lagrangian Floer Theory

Dominic Joyce, Manabu Akaho

arxiv:0803.0717 v1 · 2008-03-05 · math.SG · 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{KAEFY7LXTHRKLID5C7VOVFQKA6}

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	2026-05-18T04:23:54.630746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50085c7d7799e2a5a07d17eaea960a0790d4ee4f15bd8828681ee26765a54afb

Aliases

arxiv: 0803.0717 · arxiv_version: 0803.0717v1 · doi: 10.48550/arxiv.0803.0717 · pith_short_12: KAEFY7LXTHRK · pith_short_16: KAEFY7LXTHRKLID5 · pith_short_8: KAEFY7LX

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/KAEFY7LXTHRKLID5C7VOVFQKA6 \
  | 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: 50085c7d7799e2a5a07d17eaea960a0790d4ee4f15bd8828681ee26765a54afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35ab4c0f9373a8499648f6c3f1f8d8603cab3620ca2c06e00c47b2aaa4f240c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-03-05T17:58:50Z",
    "title_canon_sha256": "44d1a4e1ec6d0a57d1065f29a19a87bd62dcf089416aeeec79d53dafb67bf38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0717",
    "kind": "arxiv",
    "version": 1
  }
}