Pith Number

pith:KWXNHPHF

pith:2011:KWXNHPHFHK6SSCLNR6ZMBAV46R

not attested not anchored not stored refs pending

Two remarks on $PQ^{\epsilon}$-projectivity of Riemannian metrics

Stefan Rosemann, Vladimir S. Matveev

arxiv:1108.2965 v1 · 2011-08-15 · 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{KWXNHPHFHK6SSCLNR6ZMBAV46R}

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	2026-05-18T03:36:46.720545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55aed3bce53abd29096d8fb2c082bcf4790f24499d0ab500a00aaecc95ded481

Aliases

arxiv: 1108.2965 · arxiv_version: 1108.2965v1 · doi: 10.48550/arxiv.1108.2965 · pith_short_12: KWXNHPHFHK6S · pith_short_16: KWXNHPHFHK6SSCLN · pith_short_8: KWXNHPHF

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/KWXNHPHFHK6SSCLNR6ZMBAV46R \
  | 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: 55aed3bce53abd29096d8fb2c082bcf4790f24499d0ab500a00aaecc95ded481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e730d1601e7633c6090471610d8b37566fe62ec19c9f90e3324b1eff7c90930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-15T10:23:46Z",
    "title_canon_sha256": "9f4cb09a0151bf0b194582569ba326dc9b448069329928c85e99ca3fa22addfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2965",
    "kind": "arxiv",
    "version": 1
  }
}