Pith Number

pith:SMUJ77VX

pith:2012:SMUJ77VXTPDPDVSZRTZGLZVPXR

not attested not anchored not stored refs pending

Lie point symmetries of a general class of PDEs: The heat equation

Andronikos Paliathanasis, Michael Tsamparlis

arxiv:1210.2038 v1 · 2012-10-07 · math-ph · math.AP · 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{SMUJ77VXTPDPDVSZRTZGLZVPXR}

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	2026-05-18T03:43:51.299503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93289ffeb79bc6f1d6598cf265e6afbc6c1cbd02ff521b576f223f71c208ee3d

Aliases

arxiv: 1210.2038 · arxiv_version: 1210.2038v1 · doi: 10.48550/arxiv.1210.2038 · pith_short_12: SMUJ77VXTPDP · pith_short_16: SMUJ77VXTPDPDVSZ · pith_short_8: SMUJ77VX

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/SMUJ77VXTPDPDVSZRTZGLZVPXR \
  | 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: 93289ffeb79bc6f1d6598cf265e6afbc6c1cbd02ff521b576f223f71c208ee3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847abd5840760f498bf0e0492ef181123cd2aca1d6918469a41287f0963c827c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-07T10:16:06Z",
    "title_canon_sha256": "b0014d85494b99967381c9fa5c3e476442c7eed511f1210e9c2eccce9133dae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2038",
    "kind": "arxiv",
    "version": 1
  }
}