Pith Number

pith:63GO3RFH

pith:2012:63GO3RFHUTIBE3EXOQ55LOOZKZ

not attested not anchored not stored refs pending

Lie symmetries and reductions of multi-dimensional boundary value problems of the Stefan type

Roman Cherniha, Sergii Kovalenko

arxiv:1211.5510 v1 · 2012-11-23 · 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{63GO3RFHUTIBE3EXOQ55LOOZKZ}

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	2026-05-18T03:40:04.221801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ccedc4a7a4d0126c97743bd5b9d9565bcccc10adb5f2f89e233bc5bdeac74f

Aliases

arxiv: 1211.5510 · arxiv_version: 1211.5510v1 · doi: 10.48550/arxiv.1211.5510 · pith_short_12: 63GO3RFHUTIB · pith_short_16: 63GO3RFHUTIBE3EX · pith_short_8: 63GO3RFH

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/63GO3RFHUTIBE3EXOQ55LOOZKZ \
  | 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: f6ccedc4a7a4d0126c97743bd5b9d9565bcccc10adb5f2f89e233bc5bdeac74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b999c6cad7170e6b624dcc58465d4e9cede0dc2146756be43fd106e7e9d6d75",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-23T14:01:50Z",
    "title_canon_sha256": "731ca9c400274a9d59d5dbce7f5c9d094461103ec48f463a875e06c864a86d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5510",
    "kind": "arxiv",
    "version": 1
  }
}