Pith Number

pith:42GXZ7K5

pith:2013:42GXZ7K5IDGYWQ3GUKCJ5OPJRF

not attested not anchored not stored refs pending

Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces

Andronikos Paliathanasis, Michael Tsamparlis

arxiv:1306.3477 v1 · 2013-06-14 · math.AP · 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{42GXZ7K5IDGYWQ3GUKCJ5OPJRF}

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	2026-05-18T01:49:16.800085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68d7cfd5d40cd8b4366a2849eb9e9894f1328e2ffc47252f1cb9dc00211627e

Aliases

arxiv: 1306.3477 · arxiv_version: 1306.3477v1 · doi: 10.48550/arxiv.1306.3477 · pith_short_12: 42GXZ7K5IDGY · pith_short_16: 42GXZ7K5IDGYWQ3G · pith_short_8: 42GXZ7K5

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/42GXZ7K5IDGYWQ3GUKCJ5OPJRF \
  | 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: e68d7cfd5d40cd8b4366a2849eb9e9894f1328e2ffc47252f1cb9dc00211627e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27053f71034370050d62498f0d6047d63e526bcfc7b7d74e29923d1b8eefd20",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-14T18:31:53Z",
    "title_canon_sha256": "c6eacccb82d87d7c80a95b24509b4944a6e5bc8eadb320dbd0b449b65dcd43f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3477",
    "kind": "arxiv",
    "version": 1
  }
}