Pith Number

pith:ONVU4V4R

pith:2011:ONVU4V4RW6SDYH3KQBTKAMBAXD

not attested not anchored not stored refs pending

A Characterization of Bi-Lipschitz Embeddable Metric Spaces in Terms of Local Bi-Lipschitz Embeddability

Jeehyeon Seo

arxiv:1105.2529 v1 · 2011-05-12 · 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{ONVU4V4RW6SDYH3KQBTKAMBAXD}

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	2026-05-18T04:22:10.485423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

736b4e5791b7a43c1f6a8066a03020b8cd13dae3f6a0a1f70718eb1c37a4e6ac

Aliases

arxiv: 1105.2529 · arxiv_version: 1105.2529v1 · doi: 10.48550/arxiv.1105.2529 · pith_short_12: ONVU4V4RW6SD · pith_short_16: ONVU4V4RW6SDYH3K · pith_short_8: ONVU4V4R

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/ONVU4V4RW6SDYH3KQBTKAMBAXD \
  | 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: 736b4e5791b7a43c1f6a8066a03020b8cd13dae3f6a0a1f70718eb1c37a4e6ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede8789420d091bbe7d2d670f7a9198bd9916b9a7eec74ca3bd7735a66d54a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-12T16:50:47Z",
    "title_canon_sha256": "7ba664762338f89f8c7d63d4e54de5b538fd103532071f107e3eb0b0562a40f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2529",
    "kind": "arxiv",
    "version": 1
  }
}