Pith Number

pith:ATS7EC3Q

pith:2010:ATS7EC3QGEYI2XNHXO3DEJ7ZKZ

not attested not anchored not stored refs pending

Scattering by many small inhomogeneities and applications

A.G.Ramm

arxiv:1012.2767 v1 · 2010-12-13 · math-ph · cond-mat.mtrl-sci · 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{ATS7EC3QGEYI2XNHXO3DEJ7ZKZ}

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	2026-05-18T02:04:27.541283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e5f20b7031308d5da7bbb63227f956638c155afe2ec1f65e3bee4f5af26838

Aliases

arxiv: 1012.2767 · arxiv_version: 1012.2767v1 · doi: 10.48550/arxiv.1012.2767 · pith_short_12: ATS7EC3QGEYI · pith_short_16: ATS7EC3QGEYI2XNH · pith_short_8: ATS7EC3Q

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/ATS7EC3QGEYI2XNHXO3DEJ7ZKZ \
  | 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: 04e5f20b7031308d5da7bbb63227f956638c155afe2ec1f65e3bee4f5af26838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c5896404fb4ceac99b0841d920dfda2c6e161e318ce98a1acfd4d613258d88",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-13T15:40:03Z",
    "title_canon_sha256": "1548b149b92531d46d1697d21caacf1d82b11bd9ca1b71b0599d01c5c4f275d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2767",
    "kind": "arxiv",
    "version": 1
  }
}