Pith Number

pith:BQDQVKRI

pith:2013:BQDQVKRIELU54Y6DZ2DNM4C2YO

not attested not anchored not stored refs pending

Noncompact harmonic manifolds

Gerhard Knieper, Norbert Peyerimhoff

arxiv:1302.3841 v1 · 2013-02-15 · 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{BQDQVKRIELU54Y6DZ2DNM4C2YO}

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.

Cited by

1 paper in Pith

Visibility in the Boolean Model on Harmonic Manifolds

Receipt and verification

First computed	2026-05-18T03:33:35.524195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c070aaa2822e9de63c3ce86d6705ac38c35371938aa6fb13d6187f41c3ba8e1

Aliases

arxiv: 1302.3841 · arxiv_version: 1302.3841v1 · doi: 10.48550/arxiv.1302.3841 · pith_short_12: BQDQVKRIELU5 · pith_short_16: BQDQVKRIELU54Y6D · pith_short_8: BQDQVKRI

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/BQDQVKRIELU54Y6DZ2DNM4C2YO \
  | 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: 0c070aaa2822e9de63c3ce86d6705ac38c35371938aa6fb13d6187f41c3ba8e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa41ab83a3ff99660a7850b54c9b37657aa28985c87d02d43d6a9ca7da130e84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-15T18:34:15Z",
    "title_canon_sha256": "0f871d3bf818c2f90b8d528c0b7e63dfda58c47ae88cbd9e0a6314e9ca6f5f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3841",
    "kind": "arxiv",
    "version": 1
  }
}