Pith Number

pith:GJN2GPEQ

pith:2010:GJN2GPEQXU4MO2RYRYTGVCBH7L

not attested not anchored not stored refs pending

Scattering, homogenization and interface effects for oscillatory potentials with strong singularities

Michael I. Weinstein, Vincent Duch\^ene

arxiv:1010.2694 v2 · 2010-10-13 · 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{GJN2GPEQXU4MO2RYRYTGVCBH7L}

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	2026-07-05T03:18:36.837551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

325ba33c90bd38c76a388e266a8827fac0bbb84d56bcf1b406ce6c9a690ed103

Aliases

arxiv: 1010.2694 · arxiv_version: 1010.2694v2 · doi: 10.48550/arxiv.1010.2694 · pith_short_12: GJN2GPEQXU4M · pith_short_16: GJN2GPEQXU4MO2RY · pith_short_8: GJN2GPEQ

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/GJN2GPEQXU4MO2RYRYTGVCBH7L \
  | 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: 325ba33c90bd38c76a388e266a8827fac0bbb84d56bcf1b406ce6c9a690ed103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a485ae03625107439008e2fdedbb6bfff90ae607d44fc420c1a7f718b4f2175",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-13T16:21:19Z",
    "title_canon_sha256": "fa15216a72c0a40302d35763208dcf62e34c207d9f6fcaafaecb2d2f21dba4ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2694",
    "kind": "arxiv",
    "version": 2
  }
}