Pith Number

pith:TNHKLIPF

pith:2014:TNHKLIPFNZ6GFMB66WJ7VWDXVE

not attested not anchored not stored refs pending

Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Aparajita Dasgupta, Michael Ruzhansky

arxiv:1410.2637 v2 · 2014-10-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNHKLIPFNZ6GFMB66WJ7VWDXVE}

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	2026-05-18T01:23:08.815227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4ea5a1e56e7c62b03ef593fad877a933cd0fb4b3f828f266e0c3896ed39da5

Aliases

arxiv: 1410.2637 · arxiv_version: 1410.2637v2 · doi: 10.48550/arxiv.1410.2637 · pith_short_12: TNHKLIPFNZ6G · pith_short_16: TNHKLIPFNZ6GFMB6 · pith_short_8: TNHKLIPF

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/TNHKLIPFNZ6GFMB66WJ7VWDXVE \
  | 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: 9b4ea5a1e56e7c62b03ef593fad877a933cd0fb4b3f828f266e0c3896ed39da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7267d46ff66c2c18ec2244f708875636d193a3d38a63040c369dfca9733638d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-09T21:42:33Z",
    "title_canon_sha256": "6f9ea4a203fc60561a76e7c9ac7d71aa3c931ce9fcc15b3c5e35bd0655752688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2637",
    "kind": "arxiv",
    "version": 2
  }
}