Pith Number

pith:ZH7ZNWGP

pith:2011:ZH7ZNWGP657H4MVEMTAGJSJPTL

not attested not anchored not stored refs pending

Sharp metric obstructions for quasi-Einstein metrics

Jeffrey S. Case

arxiv:1110.3010 v2 · 2011-10-13 · 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{ZH7ZNWGP657H4MVEMTAGJSJPTL}

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	2026-05-18T03:56:33.956533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ff96d8cff77e7e32a464c064c92f9ad994ae8492736f02730d5330a6430c18

Aliases

arxiv: 1110.3010 · arxiv_version: 1110.3010v2 · doi: 10.48550/arxiv.1110.3010 · pith_short_12: ZH7ZNWGP657H · pith_short_16: ZH7ZNWGP657H4MVE · pith_short_8: ZH7ZNWGP

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/ZH7ZNWGP657H4MVEMTAGJSJPTL \
  | 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: c9ff96d8cff77e7e32a464c064c92f9ad994ae8492736f02730d5330a6430c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ae6570b9913af4b5c5b104cd29ec24b614abdb0cc3061dab23a913f22e16d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-13T17:51:32Z",
    "title_canon_sha256": "419b6bcd92ff96fe316573880987abb70b5ab2f9d2bf47ff015a6f6a07353fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3010",
    "kind": "arxiv",
    "version": 2
  }
}