Pith Number

pith:6XZQJ2UL

pith:1997:6XZQJ2ULYGEMUTOFRME3QYS7H3

not attested not anchored not stored refs pending

Proximity to $\ell_1$ and Distortion in Asymptotic $\ell_1$ Spaces

Edward Odell, Nicole Tomczak-Jaegermann, Roy Wagner

arxiv:math/9704214 v1 · 1997-04-09 · 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{6XZQJ2ULYGEMUTOFRME3QYS7H3}

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	2026-05-18T01:05:36.977450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f304ea8bc188ca4dc58b09b8625f3ef98be055e3322badb70a481440fe16de

Aliases

arxiv: math/9704214 · arxiv_version: math/9704214v1 · doi: 10.48550/arxiv.math/9704214 · pith_short_12: 6XZQJ2ULYGEM · pith_short_16: 6XZQJ2ULYGEMUTOF · pith_short_8: 6XZQJ2UL

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/6XZQJ2ULYGEMUTOFRME3QYS7H3 \
  | 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: f5f304ea8bc188ca4dc58b09b8625f3ef98be055e3322badb70a481440fe16de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e355fac2e9ce741b87e3ddf66ba9d0c82b4d52af52a84997c3198ad21d98e6f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-04-09T00:00:00Z",
    "title_canon_sha256": "7844dea0555aa673dac1564a8aa09fb5ec8a859d588990492a141c38d6d22de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9704214",
    "kind": "arxiv",
    "version": 1
  }
}