Pith Number

pith:DW65KRBF

pith:2016:DW65KRBFYGILT2WO3QDCB6KSIN

not attested not anchored not stored refs pending

Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kahler-Einstein metrics

Robert J. Berman

arxiv:1609.05422 v1 · 2016-09-18 · math-ph · math.CV · math.DG · 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{DW65KRBFYGILT2WO3QDCB6KSIN}

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	2026-05-18T00:39:02.094344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbdd54425c190b9eacedc0620f952434136bd630166accf122b34a31c9e2e06

Aliases

arxiv: 1609.05422 · arxiv_version: 1609.05422v1 · doi: 10.48550/arxiv.1609.05422 · pith_short_12: DW65KRBFYGIL · pith_short_16: DW65KRBFYGILT2WO · pith_short_8: DW65KRBF

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/DW65KRBFYGILT2WO3QDCB6KSIN \
  | 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: 1dbdd54425c190b9eacedc0620f952434136bd630166accf122b34a31c9e2e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1555deaced8711c513a8180c19c9ec209373e79dec018a04b5ac18a57b64e19a",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-18T04:49:08Z",
    "title_canon_sha256": "743d4c413876fc6328545786bf156ff958fbef0bada9f4dbd1eadb103bdee36a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05422",
    "kind": "arxiv",
    "version": 1
  }
}