Pith Number

pith:BTDMM7VF

pith:2026:BTDMM7VFUT55AMHOMSMOOTUKWU

not attested not anchored not stored refs pending

Near-Optimal Embeddings of Constant-Dimensional Subspaces of $L^p$ into $\ell_p^N$

Yi Li

arxiv:2607.11747 v1 · 2026-07-13 · 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{BTDMM7VFUT55AMHOMSMOOTUKWU}

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	2026-07-14T02:22:22.700871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc6c67ea5a4fbd030ee6498e74e8ab503de5b101cda29560a0d5a60ebe33291

Aliases

arxiv: 2607.11747 · arxiv_version: 2607.11747v1 · doi: 10.48550/arxiv.2607.11747 · pith_short_12: BTDMM7VFUT55 · pith_short_16: BTDMM7VFUT55AMHO · pith_short_8: BTDMM7VF

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/BTDMM7VFUT55AMHOMSMOOTUKWU \
  | 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: 0cc6c67ea5a4fbd030ee6498e74e8ab503de5b101cda29560a0d5a60ebe33291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09fb7a6a1fe3ede4330a69e1e89f23182c129578fd0cd3f60fdc68cc8c9c7874",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-13T16:06:14Z",
    "title_canon_sha256": "70ad87e74089059f07d2e3818ae8c62ecf178fcb2c4ebd43a1a6d007120f6971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11747",
    "kind": "arxiv",
    "version": 1
  }
}