Pith Number

pith:UPFPXKGV

pith:2011:UPFPXKGVFBWYWJIJXAE4JMYZNK

not attested not anchored not stored refs pending

Wave Propagation in Underwater Acoustic Waveguides with Rough Boundaries

Christophe Gomez

arxiv:1110.3846 v3 · 2011-10-17 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPFPXKGVFBWYWJIJXAE4JMYZNK}

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	2026-05-18T03:07:02.344779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cafba8d5286d8b2509b809c4b3196ab3778882083f6147361bc613ebf73af4

Aliases

arxiv: 1110.3846 · arxiv_version: 1110.3846v3 · doi: 10.48550/arxiv.1110.3846 · pith_short_12: UPFPXKGVFBWY · pith_short_16: UPFPXKGVFBWYWJIJ · pith_short_8: UPFPXKGV

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/UPFPXKGVFBWYWJIJXAE4JMYZNK \
  | 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: a3cafba8d5286d8b2509b809c4b3196ab3778882083f6147361bc613ebf73af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7dcdaaf57f35242aa39cf8341325a031905ae777e80b3a014a8fcf92254d329",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-17T23:16:25Z",
    "title_canon_sha256": "0d40a910a515d582b5579c30bcd8557358021c725beb39769f3c5aa24c5dd0f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3846",
    "kind": "arxiv",
    "version": 3
  }
}