Pith Number

pith:K4EDK5HM

pith:2015:K4EDK5HMQRJOQ4XZ26XDRYXAUA

not attested not anchored not stored refs pending

A priori estimates for a generalised Monge-Amp\`ere PDE on some compact K\"ahler manifolds

Vamsi Pingali

arxiv:1505.04358 v2 · 2015-05-17 · math.DG · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4EDK5HMQRJOQ4XZ26XDRYXAUA}

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	2026-05-18T01:23:32.216110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57083574ec8452e872f9d7ae38e2e0a0204f8fae0fb0a6d852179e88e22561fd

Aliases

arxiv: 1505.04358 · arxiv_version: 1505.04358v2 · doi: 10.48550/arxiv.1505.04358 · pith_short_12: K4EDK5HMQRJO · pith_short_16: K4EDK5HMQRJOQ4XZ · pith_short_8: K4EDK5HM

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/K4EDK5HMQRJOQ4XZ26XDRYXAUA \
  | 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: 57083574ec8452e872f9d7ae38e2e0a0204f8fae0fb0a6d852179e88e22561fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65354e57d3098368a0b6926285a2456fcaf906d7e173de4780fce0cb1d26c583",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-17T06:01:16Z",
    "title_canon_sha256": "879f5f3e60c8af8b9c88a1ca2d09ea07ffc0b8cb6c3ecc76460e9bb8b9f41c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04358",
    "kind": "arxiv",
    "version": 2
  }
}