Pith Number

pith:DJ7SPAH4

pith:2012:DJ7SPAH4GW443FTC3CMRKZZBIW

not attested not anchored not stored refs pending

Complex Monge Ampere Equations

D. H. Phong, Jian Song, J. Sturm

arxiv:1209.2203 v2 · 2012-09-11 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJ7SPAH4GW443FTC3CMRKZZBIW}

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

Parabolic complex Monge-Ampere equations on compact Kahler manifolds

Receipt and verification

First computed	2026-05-18T03:44:23.641512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7f2780fc35b9cd9662d89915672145bd36a21667888a687bade8412c434461

Aliases

arxiv: 1209.2203 · arxiv_version: 1209.2203v2 · doi: 10.48550/arxiv.1209.2203 · pith_short_12: DJ7SPAH4GW44 · pith_short_16: DJ7SPAH4GW443FTC · pith_short_8: DJ7SPAH4

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/DJ7SPAH4GW443FTC3CMRKZZBIW \
  | 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: 1a7f2780fc35b9cd9662d89915672145bd36a21667888a687bade8412c434461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88bcc8ec516c41ecd29649a968e862af7d3c61ef7e10fd593be18bb3b2fea204",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-11T02:26:02Z",
    "title_canon_sha256": "f05c9806674d644d5ab0da88b1d678afd7830ba03d4f2e74aa590eacfa38dc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2203",
    "kind": "arxiv",
    "version": 2
  }
}