Pith Number

pith:7AFURXD7

pith:2013:7AFURXD7DJZHCVBMGQHJKQUKIE

not attested not anchored not stored refs pending

A lower bound on dimension reduction for trees in \ell_1

James R. Lee, Mohammad Moharrami

arxiv:1302.6542 v2 · 2013-02-26 · math.MG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AFURXD7DJZHCVBMGQHJKQUKIE}

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	2026-05-18T03:32:19.462997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80b48dc7f1a7271542c340e95428a4124348bcb30b4d51ce9eced1282aab8e2

Aliases

arxiv: 1302.6542 · arxiv_version: 1302.6542v2 · doi: 10.48550/arxiv.1302.6542 · pith_short_12: 7AFURXD7DJZH · pith_short_16: 7AFURXD7DJZHCVBM · pith_short_8: 7AFURXD7

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/7AFURXD7DJZHCVBMGQHJKQUKIE \
  | 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: f80b48dc7f1a7271542c340e95428a4124348bcb30b4d51ce9eced1282aab8e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e8ca243c1a6a2a0a8428a407461e8af8bc5835bb6897df105e0489c681261d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-02-26T19:13:55Z",
    "title_canon_sha256": "f1f750a0742b141a93f1649722b3ca494fc07ee39cbd38c7bbf6f88777ff6a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6542",
    "kind": "arxiv",
    "version": 2
  }
}