Pith Number

pith:E5XBIAWX

pith:2013:E5XBIAWX7NYFDMASTNOFDP2HEN

not attested not anchored not stored refs pending

Using symmetry to generate solutions to the Helmholtz equation inside an equilateral triangle

Mark Semon, Nathaniel Stambaugh

arxiv:1307.1023 v2 · 2013-06-29 · physics.class-ph · 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{E5XBIAWX7NYFDMASTNOFDP2HEN}

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	2026-05-18T03:18:28.634114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276e1402d7fb7051b0129b5c51bf472362ff3f6cbff729dc3694c23584970c11

Aliases

arxiv: 1307.1023 · arxiv_version: 1307.1023v2 · doi: 10.48550/arxiv.1307.1023 · pith_short_12: E5XBIAWX7NYF · pith_short_16: E5XBIAWX7NYFDMAS · pith_short_8: E5XBIAWX

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/E5XBIAWX7NYFDMASTNOFDP2HEN \
  | 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: 276e1402d7fb7051b0129b5c51bf472362ff3f6cbff729dc3694c23584970c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc7a8555cd698ba03d98160c4b827844110bf5728794c55b09439ce31f79d49",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2013-06-29T20:26:56Z",
    "title_canon_sha256": "55cb4a8a87b272a4d47534b7fdbda848c3904d7968aa94057a706efad248c04c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1023",
    "kind": "arxiv",
    "version": 2
  }
}