Pith Number

pith:H3XEPFPY

pith:2025:H3XEPFPY34FPWLX6BMHHCQU5HU

not attested not anchored not stored refs pending

Lie point symmetries of the biharmonic heat equation on surfaces of revolution

Aminu Ma'aruf Nass, Kassimu Mpungu, Rahmatullah Ibrahim Nuruddeen

arxiv:2506.00672 v1 · 2025-05-31 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3XEPFPY34FPWLX6BMHHCQU5HU}

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	2026-07-05T11:13:38.592599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eee4795f8df0afb2efe0b0e71429d3d320f9e16875710a47b81f8065d480274

Aliases

arxiv: 2506.00672 · arxiv_version: 2506.00672v1 · doi: 10.48550/arxiv.2506.00672 · pith_short_12: H3XEPFPY34FP · pith_short_16: H3XEPFPY34FPWLX6 · pith_short_8: H3XEPFPY

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/H3XEPFPY34FPWLX6BMHHCQU5HU \
  | 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: 3eee4795f8df0afb2efe0b0e71429d3d320f9e16875710a47b81f8065d480274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d575ef6704aa320b47a5f2f4b4e113306dadf72309ec25c05d182508e27553d0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-31T18:52:16Z",
    "title_canon_sha256": "daac509df19588a1cce9286eb18e38eb172f58587e7b6435b236cce6033aff0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00672",
    "kind": "arxiv",
    "version": 1
  }
}