Pith Number

pith:YVX7XVYP

pith:2012:YVX7XVYPYWMF5ETKB66EOV7DP2

not attested not anchored not stored refs pending

The Jacobian of a Riemann surface and the geometry of the cut locus of simple closed geodesics

Bjoern Muetzel

arxiv:1202.0782 v5 · 2012-02-03 · 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{YVX7XVYPYWMF5ETKB66EOV7DP2}

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	2026-05-18T00:15:38.431596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56ffbd70fc5985e926a0fbc4757e37e85c2b7de0b80003b2fe6653835017063

Aliases

arxiv: 1202.0782 · arxiv_version: 1202.0782v5 · doi: 10.48550/arxiv.1202.0782 · pith_short_12: YVX7XVYPYWMF · pith_short_16: YVX7XVYPYWMF5ETK · pith_short_8: YVX7XVYP

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/YVX7XVYPYWMF5ETKB66EOV7DP2 \
  | 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: c56ffbd70fc5985e926a0fbc4757e37e85c2b7de0b80003b2fe6653835017063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8565fa25081c5ec34de201e2a3ae58abd1c1c4876da771dc0160ab25375b8fad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-03T17:22:55Z",
    "title_canon_sha256": "34cc0e1adb45fedaf0b7f571d8c195ea69c640b4b59439098578cbb77e8060a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0782",
    "kind": "arxiv",
    "version": 5
  }
}