Pith Number

pith:XGOZEAIU

pith:2012:XGOZEAIUILH5EI4KJYFLWAH5VE

not attested not anchored not stored refs pending

Solutions of some Monge-Amp\`ere equations with isolated and line singularities

Jingang Xiong, Tianling Jin

arxiv:1212.4206 v2 · 2012-12-18 · math.AP · 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{XGOZEAIUILH5EI4KJYFLWAH5VE}

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	2026-05-18T01:23:10.702992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99d92011442cfd2238a4e0abb00fda91b0af308cfbd028bc96813353c24e566

Aliases

arxiv: 1212.4206 · arxiv_version: 1212.4206v2 · doi: 10.48550/arxiv.1212.4206 · pith_short_12: XGOZEAIUILH5 · pith_short_16: XGOZEAIUILH5EI4K · pith_short_8: XGOZEAIU

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/XGOZEAIUILH5EI4KJYFLWAH5VE \
  | 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: b99d92011442cfd2238a4e0abb00fda91b0af308cfbd028bc96813353c24e566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fbffd71c7a6ae048e5faac0d75065dad2887129dd8492a6f55b576d42bd1ce3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-18T01:10:30Z",
    "title_canon_sha256": "cf1e2f7549cf7950cca92f9abd7bafb4b59c2a0065b1766791a514ba234df846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4206",
    "kind": "arxiv",
    "version": 2
  }
}