Pith Number

pith:2HHRVMFK

pith:2013:2HHRVMFKMY5MWXLJVQQT45KDA6

not attested not anchored not stored refs pending

Coupled systems of fractional equations related to sound propagation: analysis and discussion

Federico Polito, Roberto Garra

arxiv:1304.1055 v1 · 2013-03-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HHRVMFKMY5MWXLJVQQT45KDA6}

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	2026-05-18T02:57:06.779433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1cf1ab0aa663acb5d69ac213e754307ba25cc7d5cc3c281678c133bcf3285f7

Aliases

arxiv: 1304.1055 · arxiv_version: 1304.1055v1 · doi: 10.48550/arxiv.1304.1055 · pith_short_12: 2HHRVMFKMY5M · pith_short_16: 2HHRVMFKMY5MWXLJ · pith_short_8: 2HHRVMFK

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/2HHRVMFKMY5MWXLJVQQT45KDA6 \
  | 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: d1cf1ab0aa663acb5d69ac213e754307ba25cc7d5cc3c281678c133bcf3285f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2a59fc7dcad6fbf58f51e282c10dc90df51dd55a1d4382948f1004e3cd4577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-26T21:41:47Z",
    "title_canon_sha256": "af0186905ebc02b651cfde1d83fe0fbf596037d2c6cb834d92d0debe9bda59a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1055",
    "kind": "arxiv",
    "version": 1
  }
}