Pith Number

pith:WV3CZBZT

pith:2013:WV3CZBZTW4QA35EC2LEG7A3IPZ

not attested not anchored not stored refs pending

Kahler-Einstein metrics, canonical random point processes and birational geometry

Robert J. Berman

arxiv:1307.3634 v2 · 2013-07-13 · math.DG · math-ph · math.AG · 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{WV3CZBZTW4QA35EC2LEG7A3IPZ}

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	2026-05-18T01:04:30.579071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5762c8733b7200df482d2c86f83687e40ac54b3827a4fcbe77f90bac3434bd2

Aliases

arxiv: 1307.3634 · arxiv_version: 1307.3634v2 · doi: 10.48550/arxiv.1307.3634 · pith_short_12: WV3CZBZTW4QA · pith_short_16: WV3CZBZTW4QA35EC · pith_short_8: WV3CZBZT

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/WV3CZBZTW4QA35EC2LEG7A3IPZ \
  | 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: b5762c8733b7200df482d2c86f83687e40ac54b3827a4fcbe77f90bac3434bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02cf1d224cfe1024e96bb2a5d1df944a222d969a3b3bf7991aadb9573364b1c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-13T09:24:30Z",
    "title_canon_sha256": "76d8b54673bc329ff1c754f74fc7afc97df67b4d37abcd6dfc16f13635d6cfd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3634",
    "kind": "arxiv",
    "version": 2
  }
}