Pith Number

pith:HEO6KD6U

pith:2011:HEO6KD6UHEO4424JIQA35PG7QB

not attested not anchored not stored refs pending

Parametric representation of wave propagation in nonuniform media (both in transmission and stop bands)

A. Popov, V. Kovalchuk

arxiv:1112.1199 v1 · 2011-12-06 · math-ph · 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{HEO6KD6UHEO4424JIQA35PG7QB}

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	2026-05-18T03:18:32.039862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391de50fd4391dce6b894401bebcdf8064946e3421d2e680f483294908a4ec13

Aliases

arxiv: 1112.1199 · arxiv_version: 1112.1199v1 · doi: 10.48550/arxiv.1112.1199 · pith_short_12: HEO6KD6UHEO4 · pith_short_16: HEO6KD6UHEO4424J · pith_short_8: HEO6KD6U

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/HEO6KD6UHEO4424JIQA35PG7QB \
  | 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: 391de50fd4391dce6b894401bebcdf8064946e3421d2e680f483294908a4ec13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d095eb1feace82f6177a913cafa76882784c7fec26ba0b22f8e1e4ce2b515aaa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-06T09:16:02Z",
    "title_canon_sha256": "ec27198ee5c2166512af0c8d532cc8af2c22ec686b48fddcf72f8b5e2a5ffcde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1199",
    "kind": "arxiv",
    "version": 1
  }
}