Pith Number

pith:MMQUUIDU

pith:2010:MMQUUIDUFZKYDVC4BJAL5TZFJK

not attested not anchored not stored refs pending

On $L^2$-eigenfunctions of Twisted Laplacian on curved surfaces and suggested orthogonal polynomials

Allal Ghanmi

arxiv:1003.5501 v1 · 2010-03-29 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMQUUIDUFZKYDVC4BJAL5TZFJK}

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	2026-05-18T04:11:51.868844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63214a20742e5581d45c0a40becf254ab8aa5b77b5daeea7519153cb848bb4d4

Aliases

arxiv: 1003.5501 · arxiv_version: 1003.5501v1 · doi: 10.48550/arxiv.1003.5501 · pith_short_12: MMQUUIDUFZKY · pith_short_16: MMQUUIDUFZKYDVC4 · pith_short_8: MMQUUIDU

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/MMQUUIDUFZKYDVC4BJAL5TZFJK \
  | 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: 63214a20742e5581d45c0a40becf254ab8aa5b77b5daeea7519153cb848bb4d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de36056383b09124f44c54b7542cdd8d63dc1252575a82a822309635ee0f53b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-03-29T11:18:40Z",
    "title_canon_sha256": "6ba786a156c886862e22d1884bc0d468255f1bc57b5f01c8a162772535354df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5501",
    "kind": "arxiv",
    "version": 1
  }
}