Pith Number

pith:TYZM7B56

pith:2009:TYZM7B56ZSPNUN3UTA2IF3HVEJ

not attested not anchored not stored refs pending

Amplitude equations for a linear wave equation in a weakly curved pipe

Shin-itiro Goto

arxiv:0910.0549 v1 · 2009-10-03 · nlin.PS · 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{TYZM7B56ZSPNUN3UTA2IF3HVEJ}

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	2026-05-18T02:11:34.688875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e32cf87becc9eda3774983482ecf522562eb5891a9573a3c268add4d95fd7af

Aliases

arxiv: 0910.0549 · arxiv_version: 0910.0549v1 · doi: 10.48550/arxiv.0910.0549 · pith_short_12: TYZM7B56ZSPN · pith_short_16: TYZM7B56ZSPNUN3U · pith_short_8: TYZM7B56

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/TYZM7B56ZSPNUN3UTA2IF3HVEJ \
  | 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: 9e32cf87becc9eda3774983482ecf522562eb5891a9573a3c268add4d95fd7af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7bdcab83bab6de46cdbe78f1a2e0ddc1b396bb7d86c0c9a105ecb5a85db907",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-10-03T15:09:31Z",
    "title_canon_sha256": "aa7b5000c2d74639e8eb01eaca3746e91b007544ae80f0f0eb60a8e4bdf6aa2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0549",
    "kind": "arxiv",
    "version": 1
  }
}