Pith Number

pith:UPZ2EEKN

pith:2018:UPZ2EEKNFCMHV6VXEUMW7AQIB4

not attested not anchored not stored refs pending

Hessian Geometry and Phase Change of Gibbons-Hawking Metrics

Jian Zhou

arxiv:1801.02755 v1 · 2018-01-09 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPZ2EEKNFCMHV6VXEUMW7AQIB4}

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	2026-05-18T00:26:22.531267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f3a2114d28987afab725196f82080f2e6967e6f657455441c8cc3aa964baf5

Aliases

arxiv: 1801.02755 · arxiv_version: 1801.02755v1 · doi: 10.48550/arxiv.1801.02755 · pith_short_12: UPZ2EEKNFCMH · pith_short_16: UPZ2EEKNFCMHV6VX · pith_short_8: UPZ2EEKN

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/UPZ2EEKNFCMHV6VXEUMW7AQIB4 \
  | 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: a3f3a2114d28987afab725196f82080f2e6967e6f657455441c8cc3aa964baf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2411dac16fe15fddad152f7ab34c0eaa5db136de4c924babc9724d14130d511a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-09T02:10:57Z",
    "title_canon_sha256": "64b2f27d889c5ca83071539db5df1ed1e59d8a714fb6eff740e138b95cb9138b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02755",
    "kind": "arxiv",
    "version": 1
  }
}