Pith Number

pith:LXRIEE47

pith:2010:LXRIEE47ZU5LWUQGF4F5X4FZUE

not attested not anchored not stored refs pending

Sparser Johnson-Lindenstrauss Transforms

Daniel M. Kane, Jelani Nelson

arxiv:1012.1577 v6 · 2010-12-07 · cs.DS · cs.CG · cs.DM · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXRIEE47ZU5LWUQGF4F5X4FZUE}

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	2026-05-18T03:00:01.408422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de282139fcd3abb52062f0bdbf0b9a132d23c1bc773e5837070df2ecdb1a9ae

Aliases

arxiv: 1012.1577 · arxiv_version: 1012.1577v6 · doi: 10.48550/arxiv.1012.1577 · pith_short_12: LXRIEE47ZU5L · pith_short_16: LXRIEE47ZU5LWUQG · pith_short_8: LXRIEE47

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/LXRIEE47ZU5LWUQGF4F5X4FZUE \
  | 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: 5de282139fcd3abb52062f0bdbf0b9a132d23c1bc773e5837070df2ecdb1a9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5dfeca0e82b3c0bdade3b34ea0c626d4355faa476009c8524ee8232a2a68f26",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-12-07T18:48:12Z",
    "title_canon_sha256": "bec3d345f4e398d147419efd875f29da2df217e26869f936801615f871f8550f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1577",
    "kind": "arxiv",
    "version": 6
  }
}