Pith Number

pith:JNBZXT5E

pith:2000:JNBZXT5E2MY72P3DIRFHNMEVTK

not attested not anchored not stored refs pending

An inverse problem of ocean acoustics

A.G.Ramm

arxiv:math-ph/0001013 v3 · 2000-01-07 · math-ph · math.AP · 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{JNBZXT5E2MY72P3DIRFHNMEVTK}

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	2026-05-18T01:05:32.233374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b439bcfa4d331fd3f63444a76b0959aae820884de13148635357ae5be86f429

Aliases

arxiv: math-ph/0001013 · arxiv_version: math-ph/0001013v3 · doi: 10.48550/arxiv.math-ph/0001013 · pith_short_12: JNBZXT5E2MY7 · pith_short_16: JNBZXT5E2MY72P3D · pith_short_8: JNBZXT5E

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/JNBZXT5E2MY72P3DIRFHNMEVTK \
  | 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: 4b439bcfa4d331fd3f63444a76b0959aae820884de13148635357ae5be86f429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b4964fbea53fa4df0064d62764773bf4ebbf594511ee2532c40812fa4965887",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-01-07T01:41:55Z",
    "title_canon_sha256": "6fdb992fea9aed5db5119112c92565f8ba92ce7b8c94383cf21ec0713da64da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0001013",
    "kind": "arxiv",
    "version": 3
  }
}