Pith Number

pith:CWWCU32E

pith:2015:CWWCU32EV4RJXY47QNYM7ZRCDT

not attested not anchored not stored refs pending

Restricted isometry property of random subdictionaries

Alexander Barg, Arya Mazumdar, Rongrong Wang

arxiv:1506.06345 v1 · 2015-06-21 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWWCU32EV4RJXY47QNYM7ZRCDT}

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	2026-05-18T00:58:35.449347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ac2a6f44af229be39f8370cfe6221ceec8ec4d5dd68b4329c16580c0e42ac9

Aliases

arxiv: 1506.06345 · arxiv_version: 1506.06345v1 · doi: 10.48550/arxiv.1506.06345 · pith_short_12: CWWCU32EV4RJ · pith_short_16: CWWCU32EV4RJXY47 · pith_short_8: CWWCU32E

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/CWWCU32EV4RJXY47QNYM7ZRCDT \
  | 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: 15ac2a6f44af229be39f8370cfe6221ceec8ec4d5dd68b4329c16580c0e42ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8eb423413420722b00fd5c0386508084d1ca21fc1791693a6102eb875809d7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-21T10:51:51Z",
    "title_canon_sha256": "801b000b5cc3f1104e7ab84bff84d32f5b7b2f8821bd331305872724bf346f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06345",
    "kind": "arxiv",
    "version": 1
  }
}