Pith Number

pith:7FF4WN3Y

pith:2014:7FF4WN3YBEEC4MN2B5IA2GJS4J

not attested not anchored not stored refs pending

Admissibility for $\alpha$-Modulation Spaces

Dominik Bayer, Michael Speckbacher, Peter Balazs

arxiv:1408.4971 v1 · 2014-08-21 · 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{7FF4WN3YBEEC4MN2B5IA2GJS4J}

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	2026-05-18T02:44:41.036558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94bcb377809082e31ba0f500d1932e25af63f80ef742bd7b71691839ba42a59

Aliases

arxiv: 1408.4971 · arxiv_version: 1408.4971v1 · doi: 10.48550/arxiv.1408.4971 · pith_short_12: 7FF4WN3YBEEC · pith_short_16: 7FF4WN3YBEEC4MN2 · pith_short_8: 7FF4WN3Y

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/7FF4WN3YBEEC4MN2B5IA2GJS4J \
  | 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: f94bcb377809082e31ba0f500d1932e25af63f80ef742bd7b71691839ba42a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0001631d383b82cfa074686df818f2a66ad0a52eefda67252ec10e68d39dbb50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-21T12:20:19Z",
    "title_canon_sha256": "8a8e6559f29228f7f2c5df811cf4be2cca404910e8154f5aaf22889b9be5dfcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4971",
    "kind": "arxiv",
    "version": 1
  }
}