Pith Number

pith:6KDFZT4C

pith:2015:6KDFZT4CX3M5HS72ISLLCB6HSW

not attested not anchored not stored refs pending

Lagrangian constant cycle subvarieties in Lagrangian fibrations

Hsueh-Yung Lin

arxiv:1510.01437 v2 · 2015-10-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KDFZT4CX3M5HS72ISLLCB6HSW}

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	2026-05-18T00:27:28.521267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2865ccf82bed9d3cbfa4496b107c795aa8fd8580c46bbce295fe4babc861d7c

Aliases

arxiv: 1510.01437 · arxiv_version: 1510.01437v2 · doi: 10.48550/arxiv.1510.01437 · pith_short_12: 6KDFZT4CX3M5 · pith_short_16: 6KDFZT4CX3M5HS72 · pith_short_8: 6KDFZT4C

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/6KDFZT4CX3M5HS72ISLLCB6HSW \
  | 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: f2865ccf82bed9d3cbfa4496b107c795aa8fd8580c46bbce295fe4babc861d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6010acbfe7235067d827948bbf25fc5f3e866202f4db044676ec2cd57f304269",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-06T05:55:56Z",
    "title_canon_sha256": "d64fcb3098e18499e3ee1eb28ffef17484ff80cbfbee1c036a4f1e86e0702a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01437",
    "kind": "arxiv",
    "version": 2
  }
}