Pith Number

pith:75Q3F7EY

pith:2010:75Q3F7EYHM5NZ6MIFPCQAV45RK

not attested not anchored not stored refs pending

Calculation of the eigenfunctions and eigenvalues of Schr\"odinger type equations by asymptotic Taylor expansion method (ATEM)

Eser Olgar, Ramazan Koc

arxiv:1008.0697 v1 · 2010-08-04 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75Q3F7EYHM5NZ6MIFPCQAV45RK}

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	2026-05-18T04:42:35.855642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff61b2fc983b3adcf9882bc500579d8a8c5d6c51678aea8ed6cd518ae6b3952d

Aliases

arxiv: 1008.0697 · arxiv_version: 1008.0697v1 · doi: 10.48550/arxiv.1008.0697 · pith_short_12: 75Q3F7EYHM5N · pith_short_16: 75Q3F7EYHM5NZ6MI · pith_short_8: 75Q3F7EY

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/75Q3F7EYHM5NZ6MIFPCQAV45RK \
  | 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: ff61b2fc983b3adcf9882bc500579d8a8c5d6c51678aea8ed6cd518ae6b3952d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aafcc6a9e1d28dbe0e4b0c031f914a6837c36b78cdf46ef99a59bc665f12825b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-04T04:54:37Z",
    "title_canon_sha256": "04f3d46186e205279f466b3c12e44309932ddb1709a7e2ad9548bf68df4c9b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0697",
    "kind": "arxiv",
    "version": 1
  }
}