Pith Number

pith:BF5D7VWF

pith:2019:BF5D7VWFHB4BJLD2OGA3MDDBRO

not attested not anchored not stored refs pending

Lie symmetry analysis and exact solutions of the one-dimensional heat equation with power law diffusivity

Tobias F. Illenseer

arxiv:1901.02231 v1 · 2019-01-08 · 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{BF5D7VWFHB4BJLD2OGA3MDDBRO}

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	2026-05-17T23:56:43.714448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097a3fd6c5387814ac7a7181b60c618ba422a25cec24f5db9f9ef5d5d8e5dd49

Aliases

arxiv: 1901.02231 · arxiv_version: 1901.02231v1 · doi: 10.48550/arxiv.1901.02231 · pith_short_12: BF5D7VWFHB4B · pith_short_16: BF5D7VWFHB4BJLD2 · pith_short_8: BF5D7VWF

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/BF5D7VWFHB4BJLD2OGA3MDDBRO \
  | 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: 097a3fd6c5387814ac7a7181b60c618ba422a25cec24f5db9f9ef5d5d8e5dd49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e147e645909bf463ec409b0de5e8a8596afdf90f285bbc7dcb33c769b89779e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-08T10:13:45Z",
    "title_canon_sha256": "fa542f260c43589758e2fe5c6eae0b10e9c211d535769b2a8590c544632750d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02231",
    "kind": "arxiv",
    "version": 1
  }
}