Pith Number

pith:WCI4YI6K

pith:2012:WCI4YI6KD3SXDTMFUDW7KIPA3H

not attested not anchored not stored refs pending

Loss of Resolution for the Time Reversal of Waves in Random Underwater Acoustic Channels

Christophe Gomez

arxiv:1201.5157 v1 · 2012-01-24 · 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{WCI4YI6KD3SXDTMFUDW7KIPA3H}

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	2026-05-18T04:03:55.450064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b091cc23ca1ee571cd85a0edf521e0d9da69c05a90aa6508b43d563b5954788d

Aliases

arxiv: 1201.5157 · arxiv_version: 1201.5157v1 · doi: 10.48550/arxiv.1201.5157 · pith_short_12: WCI4YI6KD3SX · pith_short_16: WCI4YI6KD3SXDTMF · pith_short_8: WCI4YI6K

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/WCI4YI6KD3SXDTMFUDW7KIPA3H \
  | 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: b091cc23ca1ee571cd85a0edf521e0d9da69c05a90aa6508b43d563b5954788d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9444e63f350f349a5127f7c93f15448b9c91e9d05d5e5292facbc075ba94219c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-24T23:28:04Z",
    "title_canon_sha256": "9fbdff1d0b01b5645e29fc6457345f92f6c4d41d0473da9f12350d666af99d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5157",
    "kind": "arxiv",
    "version": 1
  }
}