Pith Number

pith:I5P6JHUO

pith:2011:I5P6JHUOZMGZJIPZJZT57ASGCO

not attested not anchored not stored refs pending

On the scattered field generated by a ball inhomogeneity of constant index

Yves Capdeboscq

arxiv:1108.0615 v2 · 2011-08-02 · math.CA · 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{I5P6JHUOZMGZJIPZJZT57ASGCO}

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	2026-05-18T00:12:41.161949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475fe49e8ecb0d94a1f94e67df824613a56481ed063e4008f3392c40cf3a5638

Aliases

arxiv: 1108.0615 · arxiv_version: 1108.0615v2 · doi: 10.48550/arxiv.1108.0615 · pith_short_12: I5P6JHUOZMGZ · pith_short_16: I5P6JHUOZMGZJIPZ · pith_short_8: I5P6JHUO

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/I5P6JHUOZMGZJIPZJZT57ASGCO \
  | 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: 475fe49e8ecb0d94a1f94e67df824613a56481ed063e4008f3392c40cf3a5638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67adef67b58de644040aad897dfafdc1f0e0173f6ab40d8621be352a6d63c629",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-02T16:57:40Z",
    "title_canon_sha256": "7fd2fc8c5c2d467811d5d2b85943a3b1392222d43568802fc4351d7fe444c7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0615",
    "kind": "arxiv",
    "version": 2
  }
}