Pith Number

pith:GSXNEVEB

pith:2011:GSXNEVEB6QPKDIFKEYXB2AOZG3

not attested not anchored not stored refs pending

A decay estimate for a wave equation with trapping and a complex potential

Jean-Philippe Nicolas, Lars Andersson, Pieter Blue

arxiv:1107.4597 v1 · 2011-07-22 · math.AP · 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{GSXNEVEB6QPKDIFKEYXB2AOZG3}

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	2026-05-18T04:17:03.729258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34aed25481f41ea1a0aa262e1d01d936e0453f4f7b8fdbb0158624f208a4863a

Aliases

arxiv: 1107.4597 · arxiv_version: 1107.4597v1 · doi: 10.48550/arxiv.1107.4597 · pith_short_12: GSXNEVEB6QPK · pith_short_16: GSXNEVEB6QPKDIFK · pith_short_8: GSXNEVEB

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/GSXNEVEB6QPKDIFKEYXB2AOZG3 \
  | 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: 34aed25481f41ea1a0aa262e1d01d936e0453f4f7b8fdbb0158624f208a4863a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb75c3e09e38725092631c42ef579b872cfe929d53be76c02b0f0d4dbd719dd4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-22T19:26:06Z",
    "title_canon_sha256": "e0909916e3a47d1ccfcd10e395a4bd0fbc6a9e531dcb4cdcf5aa5935fa91204a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4597",
    "kind": "arxiv",
    "version": 1
  }
}