Pith Number

pith:46UUFOPN

pith:2025:46UUFOPNP2FON3D7FLKT2355CL

not attested not anchored not stored refs pending

A Liouville theorem for convex functions with periodic Monge-Amp\`ere measure

Hung V. Tran, Tianling Jin, Xushan Tu, Yanyan Li

arxiv:2511.15021 v2 · 2025-11-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46UUFOPNP2FON3D7FLKT2355CL}

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	2026-05-25T02:01:09.688191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a942b9ed7e8ae6ec7f2ad53d6fbd12cbaebfc64e8a46768ef230fd0c75a972

Aliases

arxiv: 2511.15021 · arxiv_version: 2511.15021v2 · doi: 10.48550/arxiv.2511.15021 · pith_short_12: 46UUFOPNP2FO · pith_short_16: 46UUFOPNP2FON3D7 · pith_short_8: 46UUFOPN

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/46UUFOPNP2FON3D7FLKT2355CL \
  | 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: e7a942b9ed7e8ae6ec7f2ad53d6fbd12cbaebfc64e8a46768ef230fd0c75a972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ed18b4631447135f1f2fd71094bb94bdb1b241f5aca16b29a75dc9fc2838c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-11-19T01:38:59Z",
    "title_canon_sha256": "29fa1cf4edec36fe1d8c2376ad03ae33f3a3dd6df17073a1242c3063f6d1a526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.15021",
    "kind": "arxiv",
    "version": 2
  }
}