Pith Number

pith:4WSZRPFO

pith:2012:4WSZRPFOT5D52W7CYRAQNREIHE

not attested not anchored not stored refs pending

Radiative transfer and diffusion limits for wave field correlations in locally shifted random media

Emmanuel Bossy, Habib Ammari, Josselin Garnier, Laurent Seppecher, Wenjia Jing

arxiv:1207.1604 v2 · 2012-07-06 · math-ph · math.AP · math.MP · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WSZRPFOT5D52W7CYRAQNREIHE}

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	2026-05-18T03:20:45.427978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a598bcae9f47dd5be2c44106c4883930937958e056e3b003cb625a5eae21d0

Aliases

arxiv: 1207.1604 · arxiv_version: 1207.1604v2 · doi: 10.48550/arxiv.1207.1604 · pith_short_12: 4WSZRPFOT5D5 · pith_short_16: 4WSZRPFOT5D52W7C · pith_short_8: 4WSZRPFO

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/4WSZRPFOT5D52W7CYRAQNREIHE \
  | 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: e5a598bcae9f47dd5be2c44106c4883930937958e056e3b003cb625a5eae21d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf19333d4652ed336233380a851fd0ed29fe389016038e043f15e8f47a10174",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-06T12:30:42Z",
    "title_canon_sha256": "22fcae864379cf952271e34e7b586960dfc90069e9afe2d4e2c0786b73114638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1604",
    "kind": "arxiv",
    "version": 2
  }
}