Pith Number

pith:BCMB6XMU

pith:2017:BCMB6XMUP7GR5UCKBTGZKTWGGV

not attested not anchored not stored refs pending

Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator

Irina Tsyganok, Sergey Stepanov

arxiv:1703.09569 v1 · 2017-03-28 · 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{BCMB6XMUP7GR5UCKBTGZKTWGGV}

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	2026-05-18T00:47:44.211803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08981f5d947fcd1ed04a0ccd954ec6355e2bec02b5a6f7f0e9b126175ca4d219

Aliases

arxiv: 1703.09569 · arxiv_version: 1703.09569v1 · doi: 10.48550/arxiv.1703.09569 · pith_short_12: BCMB6XMUP7GR · pith_short_16: BCMB6XMUP7GR5UCK · pith_short_8: BCMB6XMU

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/BCMB6XMUP7GR5UCKBTGZKTWGGV \
  | 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: 08981f5d947fcd1ed04a0ccd954ec6355e2bec02b5a6f7f0e9b126175ca4d219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c4b4eaf36f2fdc69311f464cb49929ca20ba099ba5cba3ccc37f4da4f95916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-28T13:37:19Z",
    "title_canon_sha256": "051b698fddb2a7137e58a0e9e87df04be78c1462725ebf9d238ec6fe422c5d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09569",
    "kind": "arxiv",
    "version": 1
  }
}