Pith Number

pith:YF7SS3EL

pith:2019:YF7SS3ELY2KJ2JHROJ6EFMGFCE

not attested not anchored not stored refs pending

Geometry and volume product of finite dimensional Lipschitz-free spaces

Artem Zvavitch, Luis C. Garc\'ia-Lirola, Matthew Alexander, Matthieu Fradelizi

arxiv:1911.10642 v2 · 2019-11-24 · math.MG · 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{YF7SS3ELY2KJ2JHROJ6EFMGFCE}

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	2026-07-05T00:55:19.466338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17f296c8bc6949d24f1727c42b0c511101209ed79031be9eef2ce466e29eb99

Aliases

arxiv: 1911.10642 · arxiv_version: 1911.10642v2 · doi: 10.48550/arxiv.1911.10642 · pith_short_12: YF7SS3ELY2KJ · pith_short_16: YF7SS3ELY2KJ2JHR · pith_short_8: YF7SS3EL

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/YF7SS3ELY2KJ2JHROJ6EFMGFCE \
  | 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: c17f296c8bc6949d24f1727c42b0c511101209ed79031be9eef2ce466e29eb99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad4e96f0737be3e48a768ef3b9fda63bf699c4b654abd0af55fe8e586b0ac5e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-11-24T23:59:45Z",
    "title_canon_sha256": "a4e6204211524102cc99004cb5f4371fc5993976b8bdbcb3c53a78d0b82d39a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10642",
    "kind": "arxiv",
    "version": 2
  }
}