Pith Number

pith:I2N53GZH

pith:2012:I2N53GZHRLRPAWUTJND4JP6HWZ

not attested not anchored not stored refs pending

The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface

Louis Boutet De Monvel (IMJ), Yves Colin De Verdi\`ere (IF)

arxiv:1209.5165 v1 · 2012-09-24 · math-ph · math.AP · 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{I2N53GZHRLRPAWUTJND4JP6HWZ}

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	2026-05-18T03:44:46.693104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469bdd9b278ae2f05a934b47c4bfc7b6519ecabc1da7c271b01f097f4ec2cb00

Aliases

arxiv: 1209.5165 · arxiv_version: 1209.5165v1 · doi: 10.48550/arxiv.1209.5165 · pith_short_12: I2N53GZHRLRP · pith_short_16: I2N53GZHRLRPAWUT · pith_short_8: I2N53GZH

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/I2N53GZHRLRPAWUTJND4JP6HWZ \
  | 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: 469bdd9b278ae2f05a934b47c4bfc7b6519ecabc1da7c271b01f097f4ec2cb00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b1d38792f896226e8db43c3bc3f1777fafabf1ee6c0270d782665331fea23d",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-24T07:00:50Z",
    "title_canon_sha256": "6357b1e2ea77d6c21a5a764378962378b4bdc10062733dde79a694100443b561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5165",
    "kind": "arxiv",
    "version": 1
  }
}