Pith Number

pith:S64QUTDV

pith:2015:S64QUTDVKTL3N6T77GORLYK7KV

not attested not anchored not stored refs pending

Relaxed quaternionic Gabor expansions at critical density

Stefan Hartmann

arxiv:1507.05222 v1 · 2015-07-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S64QUTDVKTL3N6T77GORLYK7KV}

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	2026-05-18T01:36:37.510499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b90a4c7554d7b6fa7ff99d15e15f5564c6a42170355ce26e94ba9d8bf0688d

Aliases

arxiv: 1507.05222 · arxiv_version: 1507.05222v1 · doi: 10.48550/arxiv.1507.05222 · pith_short_12: S64QUTDVKTL3 · pith_short_16: S64QUTDVKTL3N6T7 · pith_short_8: S64QUTDV

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/S64QUTDVKTL3N6T77GORLYK7KV \
  | 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: 97b90a4c7554d7b6fa7ff99d15e15f5564c6a42170355ce26e94ba9d8bf0688d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6bc4eb8c5ac62421cbe8f8e2f6016db93e4e4a1ef69ab02c3419dcf2d8319fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-18T20:48:21Z",
    "title_canon_sha256": "5ec83901c46cf346a6750f00d7229dd7aef134d6920abd41cf5a4c57b66c6fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05222",
    "kind": "arxiv",
    "version": 1
  }
}