Pith Number

pith:YK62LPYH

pith:2012:YK62LPYHNRWRW5TXXUH24ZFQC2

not attested not anchored not stored refs pending

A constructive proof of the Assouad embedding theorem with bounds on the dimension

Guy David (LM-Orsay), Marie Snipes

arxiv:1211.3223 v1 · 2012-11-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YK62LPYHNRWRW5TXXUH24ZFQC2}

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	2026-05-18T03:40:50.540781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2bda5bf076c6d1b7677bd0fae64b01696bb73f9fb1ba6dcc764da7d7b795289

Aliases

arxiv: 1211.3223 · arxiv_version: 1211.3223v1 · doi: 10.48550/arxiv.1211.3223 · pith_short_12: YK62LPYHNRWR · pith_short_16: YK62LPYHNRWRW5TX · pith_short_8: YK62LPYH

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/YK62LPYHNRWRW5TXXUH24ZFQC2 \
  | 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: c2bda5bf076c6d1b7677bd0fae64b01696bb73f9fb1ba6dcc764da7d7b795289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a13ebfde5641d47a5546491e44956b94f1ff70d9d16097197d83dcb0be48875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-14T07:30:59Z",
    "title_canon_sha256": "a58a58053c01b52bd113d5dceae2042ff47a9488707589352bc7107b28a392e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3223",
    "kind": "arxiv",
    "version": 1
  }
}