Pith Number

pith:NIV6VAMI

pith:2014:NIV6VAMIYS52LKN4ERIVDQB6C2

not attested not anchored not stored refs pending

Lipschitz-free spaces over ultrametric spaces

Marek Cuth, Michal Doucha

arxiv:1411.2434 v3 · 2014-11-10 · 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{NIV6VAMIYS52LKN4ERIVDQB6C2}

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	2026-05-18T00:24:04.777124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2bea8188c4bba5a9bc245151c03e16b335ae190705daa3777e96974103c902

Aliases

arxiv: 1411.2434 · arxiv_version: 1411.2434v3 · doi: 10.48550/arxiv.1411.2434 · pith_short_12: NIV6VAMIYS52 · pith_short_16: NIV6VAMIYS52LKN4 · pith_short_8: NIV6VAMI

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/NIV6VAMIYS52LKN4ERIVDQB6C2 \
  | 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: 6a2bea8188c4bba5a9bc245151c03e16b335ae190705daa3777e96974103c902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7ac93a381cde1c7bea5a3a085c2252227654c5700be1149f7a7fb81212891a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-10T14:10:24Z",
    "title_canon_sha256": "7b8afcfdee22802e24af51b756172c6dbc8f042c2872d4f19d79ef4b4109edb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2434",
    "kind": "arxiv",
    "version": 3
  }
}