Pith Number

pith:DHLR7ME4

pith:2013:DHLR7ME47Z3H2FCK5NHNU3QD2U

not attested not anchored not stored refs pending

Rayleigh-Ritz variational method with suitable asymptotic behaviour

Francisco M Fern\'andez, Javier Garcia

arxiv:1308.0001 v1 · 2013-07-30 · 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{DHLR7ME47Z3H2FCK5NHNU3QD2U}

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	2026-05-18T03:17:00.877814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d71fb09cfe767d144aeb4eda6e03d502fa56858ecdfd2490d5906f52451499

Aliases

arxiv: 1308.0001 · arxiv_version: 1308.0001v1 · doi: 10.48550/arxiv.1308.0001 · pith_short_12: DHLR7ME47Z3H · pith_short_16: DHLR7ME47Z3H2FCK · pith_short_8: DHLR7ME4

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/DHLR7ME47Z3H2FCK5NHNU3QD2U \
  | 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: 19d71fb09cfe767d144aeb4eda6e03d502fa56858ecdfd2490d5906f52451499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "023037543551fbd283cf7a26c9f8f8008d098d291c356d955917014646dc644f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-30T23:15:37Z",
    "title_canon_sha256": "cab0b00e1761ab4b18cdad47ce4d441faae4e0dbc9c0ef340fac6f3d0dc5d464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0001",
    "kind": "arxiv",
    "version": 1
  }
}