Pith Number

pith:2PAYI7VZ

pith:2018:2PAYI7VZ5NHU6NISC7UCQ7EYPV

not attested not anchored not stored refs pending

Plurisubharmonicity and geodesic convexity of energy function on Teichm\"uller space

Genkai Zhang, Inkang Kim, Xueyuan Wan

arxiv:1809.00255 v1 · 2018-09-01 · 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{2PAYI7VZ5NHU6NISC7UCQ7EYPV}

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	2026-05-18T00:06:35.659194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c1847eb9eb4f4f351217e8287c987d64ca87de3eefb4451a508b3d98b504db

Aliases

arxiv: 1809.00255 · arxiv_version: 1809.00255v1 · doi: 10.48550/arxiv.1809.00255 · pith_short_12: 2PAYI7VZ5NHU · pith_short_16: 2PAYI7VZ5NHU6NIS · pith_short_8: 2PAYI7VZ

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/2PAYI7VZ5NHU6NISC7UCQ7EYPV \
  | 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: d3c1847eb9eb4f4f351217e8287c987d64ca87de3eefb4451a508b3d98b504db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc003c962ae47f84cf3cee3805913f232fadf1007b398534e8775be5bc86289c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-01T21:29:05Z",
    "title_canon_sha256": "afb1fa596eb674a3a973eedb3f1662831d156ec3d3d41b2ab3da550cb3b66db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00255",
    "kind": "arxiv",
    "version": 1
  }
}