Pith Number

pith:MF5LBHRC

pith:2015:MF5LBHRCWY5R5VXWNZFIUWVR2C

not attested not anchored not stored refs pending

Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions

Heli Tuominen, Pekka Koskela, Toni Heikkinen

arxiv:1505.05680 v1 · 2015-05-21 · 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{MF5LBHRCWY5R5VXWNZFIUWVR2C}

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	2026-05-18T02:03:53.797116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617ab09e22b63b1ed6f66e4a8a5ab1d084fb746a13f8d33d433f9ba510394799

Aliases

arxiv: 1505.05680 · arxiv_version: 1505.05680v1 · doi: 10.48550/arxiv.1505.05680 · pith_short_12: MF5LBHRCWY5R · pith_short_16: MF5LBHRCWY5R5VXW · pith_short_8: MF5LBHRC

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/MF5LBHRCWY5R5VXWNZFIUWVR2C \
  | 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: 617ab09e22b63b1ed6f66e4a8a5ab1d084fb746a13f8d33d433f9ba510394799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901efbe2ec84cd9897f58edf0b0a011d47936966faf6bd9e5d6071a9fac6e258",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-21T11:38:30Z",
    "title_canon_sha256": "e9062a29a26b5962b7ab229414650f07bdb1dc216a27d5c59b141298623583d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05680",
    "kind": "arxiv",
    "version": 1
  }
}