Pith Number

pith:4XBPXWBG

pith:2020:4XBPXWBG3GVCGMKIBNVIBS7GFD

not attested not anchored not stored refs pending

Local Index Theory for Lorentzian Manifolds

Alexander Strohmaier, Christian Baer

arxiv:2012.01364 v4 · 2020-12-02 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XBPXWBG3GVCGMKIBNVIBS7GFD}

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

2 papers in Pith

Heat and Wave kernel expansions for stationary spacetimes

Formulas for Hadamard coefficients in terms of Green's operators

Receipt and verification

First computed	2026-07-05T10:14:00.450873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c2fbd826d9aa2331480b6a80cbe628d24763fd2cd32be6933a02659552574c

Aliases

arxiv: 2012.01364 · arxiv_version: 2012.01364v4 · doi: 10.48550/arxiv.2012.01364 · pith_short_12: 4XBPXWBG3GVC · pith_short_16: 4XBPXWBG3GVCGMKI · pith_short_8: 4XBPXWBG

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/4XBPXWBG3GVCGMKIBNVIBS7GFD \
  | 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: e5c2fbd826d9aa2331480b6a80cbe628d24763fd2cd32be6933a02659552574c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a2e2e6beb94106f4d7c27ab0aff62bca7829487737ef0bbe612e66332da2f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-12-02T18:05:28Z",
    "title_canon_sha256": "3fbb1781a2fcfa826d4baca165c5fadd9dc0fa1673fc6fef1f5eb9c5d766ab8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01364",
    "kind": "arxiv",
    "version": 4
  }
}