Pith Number

pith:FGPAQSBU

pith:2012:FGPAQSBU5HKGOIDXNLI2VZDTGY

not attested not anchored not stored refs pending

Multidimensional Stability of Waves Travelling Through Rectangular Lattices in Rational Directions

A. Hoffman, E. Van Vleck, H. J. Hupkes

arxiv:1209.6416 v2 · 2012-09-28 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGPAQSBU5HKGOIDXNLI2VZDTGY}

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	2026-05-18T02:39:24.303906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

299e084834e9d46720776ad1aae473362e1c4acb0d945add8c234039ab475f92

Aliases

arxiv: 1209.6416 · arxiv_version: 1209.6416v2 · doi: 10.48550/arxiv.1209.6416 · pith_short_12: FGPAQSBU5HKG · pith_short_16: FGPAQSBU5HKGOIDX · pith_short_8: FGPAQSBU

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/FGPAQSBU5HKGOIDXNLI2VZDTGY \
  | 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: 299e084834e9d46720776ad1aae473362e1c4acb0d945add8c234039ab475f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47716c1dcdecf13fb8ddc632bec61aa63175d42ba702cb3ed30bedc4278c36e4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-28T03:53:57Z",
    "title_canon_sha256": "6989aeef1bc5cf2944ff7b2d209d79cdcbae9e5765cfb3749b097880f43261bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6416",
    "kind": "arxiv",
    "version": 2
  }
}