Pith Number

pith:GSIVSNPY

pith:2011:GSIVSNPYNLWES4E3ZVF64APCLJ

not attested not anchored not stored refs pending

Uniqueness of warped product Einstein metrics and applications

Chenxu He, Peter Petersen, William Wylie

arxiv:1110.2456 v2 · 2011-10-11 · 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{GSIVSNPYNLWES4E3ZVF64APCLJ}

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	2026-05-18T03:34:46.230355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34915935f86aec49709bcd4bee01e25a487a3256c48015a908b17c7c3faf085c

Aliases

arxiv: 1110.2456 · arxiv_version: 1110.2456v2 · doi: 10.48550/arxiv.1110.2456 · pith_short_12: GSIVSNPYNLWE · pith_short_16: GSIVSNPYNLWES4E3 · pith_short_8: GSIVSNPY

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/GSIVSNPYNLWES4E3ZVF64APCLJ \
  | 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: 34915935f86aec49709bcd4bee01e25a487a3256c48015a908b17c7c3faf085c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51aa4421b7d9843b5cdb0c9c2c0a553c6da74521014bfafaa052b8b09b95531",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-11T17:49:36Z",
    "title_canon_sha256": "9187daace191258e847caeea7e3da839cb48ec08b8448230710e08328a11330e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2456",
    "kind": "arxiv",
    "version": 2
  }
}