Pith Number

pith:ZXX3DZ3H

pith:2013:ZXX3DZ3HTK7WXFYY7WVR2A7GRH

not attested not anchored not stored refs pending

Strict self-adjointness and shallow water models

Igor Leite Freire, Priscila Leal da Silva

arxiv:1312.3992 v2 · 2013-12-14 · 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{ZXX3DZ3HTK7WXFYY7WVR2A7GRH}

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	2026-05-18T02:55:38.170832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdefb1e7679abf6b9718fdab1d03e689e9d1fa3201471e93b5900e9a80562a16

Aliases

arxiv: 1312.3992 · arxiv_version: 1312.3992v2 · doi: 10.48550/arxiv.1312.3992 · pith_short_12: ZXX3DZ3HTK7W · pith_short_16: ZXX3DZ3HTK7WXFYY · pith_short_8: ZXX3DZ3H

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/ZXX3DZ3HTK7WXFYY7WVR2A7GRH \
  | 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: cdefb1e7679abf6b9718fdab1d03e689e9d1fa3201471e93b5900e9a80562a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b770cc02830fdb10d4c7db268e4f800f302d8f5fed6c0df0efcf999c03a8a96",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-14T01:02:37Z",
    "title_canon_sha256": "0702e62c66b1b42fd44dbca1ed738854fd64c3c18474d4d81cea07baf0f720b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3992",
    "kind": "arxiv",
    "version": 2
  }
}