Pith Number

pith:P6S4FBNV

pith:2010:P6S4FBNV2FR27QNTSWOAQ7ETC7

not attested not anchored not stored refs pending

Linear Wave Equations on Lorentzian Manifolds

Christian Baer

arxiv:1006.2354 v1 · 2010-06-11 · math.AP · 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{P6S4FBNV2FR27QNTSWOAQ7ETC7}

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

Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST

Receipt and verification

First computed	2026-07-04T17:30:23.375179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa5c285b5d163afc1b3959c087c9317cee25d2bc0aa6ac83af55fb21e250b0f

Aliases

arxiv: 1006.2354 · arxiv_version: 1006.2354v1 · doi: 10.48550/arxiv.1006.2354 · pith_short_12: P6S4FBNV2FR2 · pith_short_16: P6S4FBNV2FR27QNT · pith_short_8: P6S4FBNV

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/P6S4FBNV2FR27QNTSWOAQ7ETC7 \
  | 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: 7fa5c285b5d163afc1b3959c087c9317cee25d2bc0aa6ac83af55fb21e250b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c230808c18d9970e5a33f8931a1cde93ec9cd2091e713b62b9a17464762146b0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-11T17:46:32Z",
    "title_canon_sha256": "af7b2a67f8a7509fbe3bd5fe75b06acffcd0a0db96114933da55477344eca1a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2354",
    "kind": "arxiv",
    "version": 1
  }
}