Pith Number

pith:QU3MRWNH

pith:2015:QU3MRWNH6FEMADHTVATUE44N4Z

not attested not anchored not stored refs pending

Decay of solutions to the Maxwell equation on the Schwarzschild background

Lars Andersson, Pieter Blue, Thomas B\"ackdahl

arxiv:1501.04641 v2 · 2015-01-19 · math.AP · gr-qc · 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{QU3MRWNH6FEMADHTVATUE44N4Z}

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	2026-05-18T01:17:53.108711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8536c8d9a7f148c00cf3a82742738de665ef014de6f233fdc5a041dcc112c369

Aliases

arxiv: 1501.04641 · arxiv_version: 1501.04641v2 · doi: 10.48550/arxiv.1501.04641 · pith_short_12: QU3MRWNH6FEM · pith_short_16: QU3MRWNH6FEMADHT · pith_short_8: QU3MRWNH

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/QU3MRWNH6FEMADHTVATUE44N4Z \
  | 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: 8536c8d9a7f148c00cf3a82742738de665ef014de6f233fdc5a041dcc112c369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e3d330795715a24a41c29c23548d8c385a9c373f0c12512192c10c9a8cf36b",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-19T21:03:21Z",
    "title_canon_sha256": "b2cab614854b90100470eb2c167e9d47564476438d8999475bfbc0fc394851a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04641",
    "kind": "arxiv",
    "version": 2
  }
}