Pith Number

pith:V26J4OVT

pith:2012:V26J4OVTLWQBW4GIXR5S7XHOKH

not attested not anchored not stored refs pending

Wide effectiveness of a sine basis for quantum-mechanical problems in d dimensions

Alexandra Lemus Rodriguez, Richard L. Hall

arxiv:1212.4516 v1 · 2012-12-18 · 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{V26J4OVTLWQBW4GIXR5S7XHOKH}

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	2026-05-18T03:33:39.605527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebc9e3ab35da01b70c8bc7b2fdcee51e6a6ac522f6509f71780b8ddf44c8275

Aliases

arxiv: 1212.4516 · arxiv_version: 1212.4516v1 · doi: 10.48550/arxiv.1212.4516 · pith_short_12: V26J4OVTLWQB · pith_short_16: V26J4OVTLWQBW4GI · pith_short_8: V26J4OVT

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/V26J4OVTLWQBW4GIXR5S7XHOKH \
  | 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: aebc9e3ab35da01b70c8bc7b2fdcee51e6a6ac522f6509f71780b8ddf44c8275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997258277dc66c5f02980049f5581c4805d425a407084382badcaa7e1a042847",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-18T21:44:41Z",
    "title_canon_sha256": "d03a0ab2f4274b991da0200cf34a29fadd2abfe42f8c48507c71c47c11dfe44e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4516",
    "kind": "arxiv",
    "version": 1
  }
}