Pith Number

pith:JGKP42ZO

pith:2017:JGKP42ZOG4BHMGJZAXS6TUMQQL

not attested not anchored not stored refs pending

Localized energy for wave equations with degenerate trapping

Hans Christianson, Jacob Perry, Jason Metcalfe, Robert Booth

arxiv:1712.05853 v1 · 2017-12-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGKP42ZOG4BHMGJZAXS6TUMQQL}

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	2026-05-18T00:27:51.721381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4994fe6b2e370276193905e5e9d19082d3ac5c8f556d62aa3d4829804431d340

Aliases

arxiv: 1712.05853 · arxiv_version: 1712.05853v1 · doi: 10.48550/arxiv.1712.05853 · pith_short_12: JGKP42ZOG4BH · pith_short_16: JGKP42ZOG4BHMGJZ · pith_short_8: JGKP42ZO

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/JGKP42ZOG4BHMGJZAXS6TUMQQL \
  | 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: 4994fe6b2e370276193905e5e9d19082d3ac5c8f556d62aa3d4829804431d340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655ef66f9b5a41018e340b3390b8dbb533a58c536a881625c4ce792627c089a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-15T21:49:48Z",
    "title_canon_sha256": "a61919008d80edde22f3f09fe97f23c000a10cd72c27ef7fffab196bae2ee4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05853",
    "kind": "arxiv",
    "version": 1
  }
}