Pith Number

pith:A7RF3XM7

pith:2013:A7RF3XM7AQUMSJD5IEC22GP4GX

not attested not anchored not stored refs pending

On entire functions restricted to intervals, partition of unities, and dual Gabor frames

Hong Oh Kim, Ole Christensen, Rae Young Kim

arxiv:1308.5557 v1 · 2013-08-26 · 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{A7RF3XM7AQUMSJD5IEC22GP4GX}

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	2026-05-18T03:15:04.134823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e25ddd9f0428c9247d4105ad19fc35e1c093e1d61c51ea9d01b338198b370b

Aliases

arxiv: 1308.5557 · arxiv_version: 1308.5557v1 · doi: 10.48550/arxiv.1308.5557 · pith_short_12: A7RF3XM7AQUM · pith_short_16: A7RF3XM7AQUMSJD5 · pith_short_8: A7RF3XM7

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/A7RF3XM7AQUMSJD5IEC22GP4GX \
  | 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: 07e25ddd9f0428c9247d4105ad19fc35e1c093e1d61c51ea9d01b338198b370b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86391d026d93aec0b7332e4a22b78fcc298b1891f3ac95fc4ee206ce6f5eaa8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-26T12:38:02Z",
    "title_canon_sha256": "33b8488103ddca28dd05d8d0c06a9e2bf3bc7e220a25a33fecc097bcec32919b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5557",
    "kind": "arxiv",
    "version": 1
  }
}