Pith Number

pith:AN5NSJQI

pith:2011:AN5NSJQIBCFAIKHWUOUGINLTOL

not attested not anchored not stored refs pending

Beam propagation in a Randomly Inhomogeneous Medium

Aleksander Stanislavsky

arxiv:1111.3059 v1 · 2011-11-13 · astro-ph.IM · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AN5NSJQIBCFAIKHWUOUGINLTOL}

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	2026-05-18T04:08:23.110264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037ad92608088a0428f6a3a864357372d8664720e9aa11ac1b84397ca7be92d5

Aliases

arxiv: 1111.3059 · arxiv_version: 1111.3059v1 · doi: 10.48550/arxiv.1111.3059 · pith_short_12: AN5NSJQIBCFA · pith_short_16: AN5NSJQIBCFAIKHW · pith_short_8: AN5NSJQI

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/AN5NSJQIBCFAIKHWUOUGINLTOL \
  | 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: 037ad92608088a0428f6a3a864357372d8664720e9aa11ac1b84397ca7be92d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eaa7efc5f2dd5304f32880367a4e70f7d589c26d88ce21880f4d747a930b33d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2011-11-13T20:45:55Z",
    "title_canon_sha256": "40819e94f84de7a320174126860c424f96c51107545be6a326d1e751fe322c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3059",
    "kind": "arxiv",
    "version": 1
  }
}