Pith Number

pith:RJA5A7KO

pith:2017:RJA5A7KO6HRAIJUBANVXHPLNXW

not attested not anchored not stored refs pending

The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations

Rainer Mandel

arxiv:1710.06332 v2 · 2017-10-17 · 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{RJA5A7KO6HRAIJUBANVXHPLNXW}

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	2026-05-18T00:17:42.666717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a41d07d4ef1e2042681036b73bd6dbda390e48201a35758b833fd8072109d83

Aliases

arxiv: 1710.06332 · arxiv_version: 1710.06332v2 · doi: 10.48550/arxiv.1710.06332 · pith_short_12: RJA5A7KO6HRA · pith_short_16: RJA5A7KO6HRAIJUB · pith_short_8: RJA5A7KO

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/RJA5A7KO6HRAIJUBANVXHPLNXW \
  | 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: 8a41d07d4ef1e2042681036b73bd6dbda390e48201a35758b833fd8072109d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79bfef0de6d5650bd4a6482ef5d2f4913d7701e8024b2ddb1552dac17bc90fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-17T15:03:28Z",
    "title_canon_sha256": "cff5b1f813d183abc52ef31b2e273e51b314e02bda021b5a1ed92c7287988b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06332",
    "kind": "arxiv",
    "version": 2
  }
}