Pith Number

pith:7MND3WAF

pith:2013:7MND3WAFPLEUKXYF33Z5VMZYLN

not attested not anchored not stored refs pending

Discretized Gabor Frames of Totally Positive Functions

Joachim St\"ockler, Karlheinz Gr\"ochenig, Severin Bannert

arxiv:1308.2808 v1 · 2013-08-13 · cs.IT · math.IT · 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{7MND3WAFPLEUKXYF33Z5VMZYLN}

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	2026-05-18T03:15:58.468501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1a3dd8057ac9455f05def3dab3385b477361c3355793d36f673121c69562a4

Aliases

arxiv: 1308.2808 · arxiv_version: 1308.2808v1 · doi: 10.48550/arxiv.1308.2808 · pith_short_12: 7MND3WAFPLEU · pith_short_16: 7MND3WAFPLEUKXYF · pith_short_8: 7MND3WAF

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/7MND3WAFPLEUKXYF33Z5VMZYLN \
  | 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: fb1a3dd8057ac9455f05def3dab3385b477361c3355793d36f673121c69562a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43bd8ff21a9942b1d51e882d79bf99979454eeb08b28eca7319f3b3d127e262",
    "cross_cats_sorted": [
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-13T10:03:22Z",
    "title_canon_sha256": "54e213b5f7a29de7fe6eb103207e76e1beabcba7cca4f1e5222f3a43b22d1e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2808",
    "kind": "arxiv",
    "version": 1
  }
}