Pith Number

pith:FZBW6GA6

pith:2010:FZBW6GA6UCWL6P5YCR62B4PC5T

not attested not anchored not stored refs pending

On the classification of warped product Einstein metrics

Chenxu He, Peter Petersen, William Wylie

arxiv:1010.5488 v2 · 2010-10-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZBW6GA6UCWL6P5YCR62B4PC5T}

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	2026-05-18T04:31:11.404760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e436f181ea0acbf3fb8147da0f1e2ece7896e7178a79a78f9625e650d1610e0

Aliases

arxiv: 1010.5488 · arxiv_version: 1010.5488v2 · doi: 10.48550/arxiv.1010.5488 · pith_short_12: FZBW6GA6UCWL · pith_short_16: FZBW6GA6UCWL6P5Y · pith_short_8: FZBW6GA6

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/FZBW6GA6UCWL6P5YCR62B4PC5T \
  | 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: 2e436f181ea0acbf3fb8147da0f1e2ece7896e7178a79a78f9625e650d1610e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec6b9aafa2fa1dd42d50c11b62d37ce0a653a3a8135a4319207ac91e0390d0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-26T19:14:42Z",
    "title_canon_sha256": "996b57ac6b3e80a7a46fd5fa480661bd00c266ef53655baf2e1d5309c3279685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5488",
    "kind": "arxiv",
    "version": 2
  }
}