Pith Number

pith:RTOQ43VS

pith:2015:RTOQ43VSK7CRFGPBWQ2PSE33EQ

not attested not anchored not stored refs pending

Equivalence and Symmetries for Linear Parabolic Equations and Applications Revisited

F. Gungor

arxiv:1501.01481 v3 · 2015-01-07 · math-ph · math.AP · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTOQ43VSK7CRFGPBWQ2PSE33EQ}

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	2026-05-18T00:38:18.891479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cdd0e6eb257c51299e1b434f9137b2422c8c31444ab919254f814214f857107

Aliases

arxiv: 1501.01481 · arxiv_version: 1501.01481v3 · doi: 10.48550/arxiv.1501.01481 · pith_short_12: RTOQ43VSK7CR · pith_short_16: RTOQ43VSK7CRFGPB · pith_short_8: RTOQ43VS

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/RTOQ43VSK7CRFGPBWQ2PSE33EQ \
  | 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: 8cdd0e6eb257c51299e1b434f9137b2422c8c31444ab919254f814214f857107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb2d9f57f75f912d397fb6c1ada8fce014812bde7b13d186f8be24b05ad6241",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-07T13:16:37Z",
    "title_canon_sha256": "16c20beedf1a22c4cc5ee3b29d36ab0e164b97e30afd7486a95e9e70576af680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01481",
    "kind": "arxiv",
    "version": 3
  }
}