Pith Number

pith:YR4UAGHO

pith:2012:YR4UAGHONRWKY6R4T7Z2FCP46R

not attested not anchored not stored refs pending

Analysis of a Fivefold Symmetric Superposition of Plane Waves

Michael H. Schwarz, Robert A. Pelcovits

arxiv:1203.3837 v1 · 2012-03-17 · 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{YR4UAGHONRWKY6R4T7Z2FCP46R}

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	2026-05-18T03:59:48.849174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4794018ee6c6cac7a3c9ff3a289fcf479dca9266ffe6838de452514e05ddc80

Aliases

arxiv: 1203.3837 · arxiv_version: 1203.3837v1 · doi: 10.48550/arxiv.1203.3837 · pith_short_12: YR4UAGHONRWK · pith_short_16: YR4UAGHONRWKY6R4 · pith_short_8: YR4UAGHO

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/YR4UAGHONRWKY6R4T7Z2FCP46R \
  | 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: c4794018ee6c6cac7a3c9ff3a289fcf479dca9266ffe6838de452514e05ddc80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c199a5d265f550510683e6f55bb2961a9a963130dd8dbb79e2737213b609337",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-17T04:51:35Z",
    "title_canon_sha256": "2123f6616de6991b4b0b482010b21f703a4c358303d6f178b9e81d317a01df2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3837",
    "kind": "arxiv",
    "version": 1
  }
}