Pith Number

pith:PP4IGW24

pith:2014:PP4IGW24SB7PBINTXG4H6UPICH

not attested not anchored not stored refs pending

Sketching and Embedding are Equivalent for Norms

Alexandr Andoni, Ilya Razenshteyn, Robert Krauthgamer

arxiv:1411.2577 v3 · 2014-11-10 · cs.DS · cs.CC · 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{PP4IGW24SB7PBINTXG4H6UPICH}

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	2026-05-18T00:50:43.230203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf8835b5c907ef0a1b3b9b87f51e811d30854a4161e42d0150d67f439b820f6

Aliases

arxiv: 1411.2577 · arxiv_version: 1411.2577v3 · doi: 10.48550/arxiv.1411.2577 · pith_short_12: PP4IGW24SB7P · pith_short_16: PP4IGW24SB7PBINT · pith_short_8: PP4IGW24

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/PP4IGW24SB7PBINTXG4H6UPICH \
  | 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: 7bf8835b5c907ef0a1b3b9b87f51e811d30854a4161e42d0150d67f439b820f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f95d6f800d727d9b46d017af66271e1b0e37131ccfe5576b4651a1eb6e9b9a49",
    "cross_cats_sorted": [
      "cs.CC",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-11-10T20:42:51Z",
    "title_canon_sha256": "2b2fcf6d24a807d0963bb108b73d7d287c74a1321f9b98ace3369d4fe451a7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2577",
    "kind": "arxiv",
    "version": 3
  }
}