Pith Number

pith:F6HQ3FKF

pith:2013:F6HQ3FKFF3US5RJTYMKR7JSOWQ

not attested not anchored not stored refs pending

Exact and approximate expansions with pure Gaussian wavepackets

Jos\'e Luis Romero, Karlheinz Gr\"ochenig, Maarten V. de Hoop

arxiv:1307.3900 v2 · 2013-07-15 · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6HQ3FKFF3US5RJTYMKR7JSOWQ}

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	2026-05-18T02:18:01.719799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f8f0d95452ee92ec533c3151fa64eb433a9dc118822dabf080b3af5af947896

Aliases

arxiv: 1307.3900 · arxiv_version: 1307.3900v2 · doi: 10.48550/arxiv.1307.3900 · pith_short_12: F6HQ3FKFF3US · pith_short_16: F6HQ3FKFF3US5RJT · pith_short_8: F6HQ3FKF

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/F6HQ3FKFF3US5RJTYMKR7JSOWQ \
  | 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: 2f8f0d95452ee92ec533c3151fa64eb433a9dc118822dabf080b3af5af947896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50771ba6ebe0bf4de2c978aabe5f4da68c112f21c8e8ba6f5a946106a297c21b",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-15T11:37:11Z",
    "title_canon_sha256": "49665ff1bf65742345abe144d786f77a1be0db77f8e9f8db3d8b122af6fc4e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3900",
    "kind": "arxiv",
    "version": 2
  }
}