Pith Number

pith:32FZCP4V

pith:2011:32FZCP4V3V2W54VPKIGMDKHUPW

not attested not anchored not stored refs pending

Note on a class of anisotropic Einstein metrics

Liu Zhao

arxiv:1106.5027 v1 · 2011-06-24 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32FZCP4V3V2W54VPKIGMDKHUPW}

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	2026-05-18T04:19:22.588134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8b913f95dd756ef2af520cc1a8f47da38b74e0faf7de9cb58b76923200ba25

Aliases

arxiv: 1106.5027 · arxiv_version: 1106.5027v1 · doi: 10.48550/arxiv.1106.5027 · pith_short_12: 32FZCP4V3V2W · pith_short_16: 32FZCP4V3V2W54VP · pith_short_8: 32FZCP4V

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/32FZCP4V3V2W54VPKIGMDKHUPW \
  | 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: de8b913f95dd756ef2af520cc1a8f47da38b74e0faf7de9cb58b76923200ba25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f1df4eec8cc6f512a09236e577274d4e3377aac0aec49257e0e5fcd68d1623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-24T17:52:48Z",
    "title_canon_sha256": "18789411c1945731ebafad387593228dc163f4f5ae9fd2bd9b39d8b4733f397b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5027",
    "kind": "arxiv",
    "version": 1
  }
}