Pith Number

pith:ZXDELAQJ

pith:2011:ZXDELAQJCTWEJ62V44HBAL75QT

not attested not anchored not stored refs pending

On the Quantum Homology of Real Lagrangians in Fano Toric Manifolds

Luis Haug

arxiv:1108.5605 v3 · 2011-08-29 · 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{ZXDELAQJCTWEJ62V44HBAL75QT}

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	2026-05-18T03:08:27.460828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc645820914ec44fb55e70e102ffd84ebf64c28006100cd864f68cf9e43df69

Aliases

arxiv: 1108.5605 · arxiv_version: 1108.5605v3 · doi: 10.48550/arxiv.1108.5605 · pith_short_12: ZXDELAQJCTWE · pith_short_16: ZXDELAQJCTWEJ62V · pith_short_8: ZXDELAQJ

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/ZXDELAQJCTWEJ62V44HBAL75QT \
  | 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: cdc645820914ec44fb55e70e102ffd84ebf64c28006100cd864f68cf9e43df69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a70dcdf52487335255c19f5b71030b52a7ac8ed7813db53bb5d255b2b3d9290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-08-29T15:32:59Z",
    "title_canon_sha256": "e3f62bd1ddb615e7094c02a9d7de0c9044afd7b725a6d0e8987f499c9fe60f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5605",
    "kind": "arxiv",
    "version": 3
  }
}