Pith Number

pith:UWD3IA5V

pith:2011:UWD3IA5VUCKU6HI2B7UDUIDA5N

not attested not anchored not stored refs pending

Immersed Lagrangian deformations of a branched covering of a special Lagrangian 3-sphere in a Calabi-Yau 3-fold and its deviation from Joyce's criteria: Potential image-support rigidity of A-branes that wrap around a sL $S^3$

Chien-Hao Liu, Shing-Tung Yau

arxiv:1109.1878 v1 · 2011-09-09 · math.DG · hep-th · math.AG · 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{UWD3IA5VUCKU6HI2B7UDUIDA5N}

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	2026-05-18T04:13:46.622175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a587b403b5a0954f1d1a0fe83a2060eb52689872457a6f21af73fc1e891698bc

Aliases

arxiv: 1109.1878 · arxiv_version: 1109.1878v1 · doi: 10.48550/arxiv.1109.1878 · pith_short_12: UWD3IA5VUCKU · pith_short_16: UWD3IA5VUCKU6HI2 · pith_short_8: UWD3IA5V

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/UWD3IA5VUCKU6HI2B7UDUIDA5N \
  | 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: a587b403b5a0954f1d1a0fe83a2060eb52689872457a6f21af73fc1e891698bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a152a703050791349620dc74c1aef04d233bbe7bcc9c3816a2fa56c52131b5",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-09T02:35:38Z",
    "title_canon_sha256": "7063e30c2e7a25316872f8b69474b7edbb064892ab4358023ccff37329d0dac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1878",
    "kind": "arxiv",
    "version": 1
  }
}