Pith Number

pith:VDYQTDOI

pith:2017:VDYQTDOIERHNA6Z2MM7DYOCRAO

not attested not anchored not stored refs pending

The problem of embedded eigenvalues for the Dirac equation in the Schwarzschild black hole metric

Davide Batic, Kirk Morgan, Marek Nowakowski

arxiv:1701.03889 v1 · 2017-01-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDYQTDOIERHNA6Z2MM7DYOCRAO}

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	2026-05-18T00:52:48.614057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f1098dc8244ed07b3a633e3c3851038120bd334e8f7792a31fa49adca1639f

Aliases

arxiv: 1701.03889 · arxiv_version: 1701.03889v1 · doi: 10.48550/arxiv.1701.03889 · pith_short_12: VDYQTDOIERHN · pith_short_16: VDYQTDOIERHNA6Z2 · pith_short_8: VDYQTDOI

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/VDYQTDOIERHNA6Z2MM7DYOCRAO \
  | 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: a8f1098dc8244ed07b3a633e3c3851038120bd334e8f7792a31fa49adca1639f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d4d4f9f59821968f0fc09ac89d7696788ffab0187d0079797079d0513bea79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-14T08:19:59Z",
    "title_canon_sha256": "fb44e62f6724cb5b25c0e7530f07ae9336afd4e7e2ccc3500c9e1287926bcabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03889",
    "kind": "arxiv",
    "version": 1
  }
}