Pith Number

pith:CC64ZZ4N

pith:2016:CC64ZZ4NW5HHACUPFGG4KQXBGB

not attested not anchored not stored refs pending

Lipschitz Embeddings of Metric Spaces into $c_0$

Florent P. Baudier, Robert Deville

arxiv:1612.02025 v1 · 2016-12-06 · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CC64ZZ4NW5HHACUPFGG4KQXBGB}

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	2026-05-18T00:55:35.441880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10bdcce78db74e700a8f298dc542e13061d51423430f4e4eeaeddf3512d81f02

Aliases

arxiv: 1612.02025 · arxiv_version: 1612.02025v1 · doi: 10.48550/arxiv.1612.02025 · pith_short_12: CC64ZZ4NW5HH · pith_short_16: CC64ZZ4NW5HHACUP · pith_short_8: CC64ZZ4N

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/CC64ZZ4NW5HHACUPFGG4KQXBGB \
  | 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: 10bdcce78db74e700a8f298dc542e13061d51423430f4e4eeaeddf3512d81f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aadaeb1404d71d9df4e9a4c78b901113aee37db77dddd4ef7a5c562894814f0c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-06T21:18:21Z",
    "title_canon_sha256": "2f169130fbb1d173725dd9bf17838bed5f5cee9b9e6eedbc42b7b16a44107ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02025",
    "kind": "arxiv",
    "version": 1
  }
}