Pith Number

pith:DUDWKHOU

pith:2014:DUDWKHOU76N6OGWAS5PLQ3ULYK

not attested not anchored not stored refs pending

Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings

Eero Saksman, Mario Bonk, Tom\'as Soto

arxiv:1411.5906 v2 · 2014-11-21 · math.CA · 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{DUDWKHOU76N6OGWAS5PLQ3ULYK}

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	2026-05-18T01:09:11.971255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d07651dd4ff9be71ac0975eb86e8bc28bc743724388b3cd1a65a727f3148ca3

Aliases

arxiv: 1411.5906 · arxiv_version: 1411.5906v2 · doi: 10.48550/arxiv.1411.5906 · pith_short_12: DUDWKHOU76N6 · pith_short_16: DUDWKHOU76N6OGWA · pith_short_8: DUDWKHOU

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/DUDWKHOU76N6OGWAS5PLQ3ULYK \
  | 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: 1d07651dd4ff9be71ac0975eb86e8bc28bc743724388b3cd1a65a727f3148ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b8644ce40f2ab9a081f84702caf888691e9a084d75c1c179978561455a8134",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-21T15:09:49Z",
    "title_canon_sha256": "1ecbf5350462bbb7ec42715b2acbf8b5bebb9164509a522fa331814f7b2235d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5906",
    "kind": "arxiv",
    "version": 2
  }
}