Pith Number

pith:LAG7CCZ5

pith:2017:LAG7CCZ5T5HUT7U7A7DJ4UO5AP

not attested not anchored not stored refs pending

Bi-Lagrangian structures and Teichm\"uller theory

Andrew Sanders, Brice Loustau

arxiv:1708.09145 v4 · 2017-08-30 · 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{LAG7CCZ5T5HUT7U7A7DJ4UO5AP}

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.

Cited by

1 paper in Pith

Complex harmonic maps and rank 2 higher Teichm\"uller theory

Receipt and verification

First computed	2026-07-05T01:28:57.717626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580df10b3d9f4f49fe9f07c69e51dd03c627279d84d3d06df0cb749a1ddd1566

Aliases

arxiv: 1708.09145 · arxiv_version: 1708.09145v4 · doi: 10.48550/arxiv.1708.09145 · pith_short_12: LAG7CCZ5T5HU · pith_short_16: LAG7CCZ5T5HUT7U7 · pith_short_8: LAG7CCZ5

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/LAG7CCZ5T5HUT7U7A7DJ4UO5AP \
  | 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: 580df10b3d9f4f49fe9f07c69e51dd03c627279d84d3d06df0cb749a1ddd1566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a040ec923dbc3d75071881aa44f47cfb91a984969fd6bd0aa7727f8fc75592ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-30T07:35:06Z",
    "title_canon_sha256": "35a7f8da2570a9928da7d2d373ef40ba4434d8594584b0d9c4eb0d0332fbf6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09145",
    "kind": "arxiv",
    "version": 4
  }
}