Pith Number

pith:SRUUC55K

pith:2011:SRUUC55KJVLCY23KCJF7HLQFKS

not attested not anchored not stored refs pending

Null-Control and Measurable Sets

J. Apraiz, L. Escauriaza

arxiv:1107.4132 v2 · 2011-07-20 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRUUC55KJVLCY23KCJF7HLQFKS}

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	2026-05-18T04:17:02.190540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94694177aa4d562c6b6a124bf3ae05549a068782e83b33bfbf3f6e64970bb4dd

Aliases

arxiv: 1107.4132 · arxiv_version: 1107.4132v2 · doi: 10.48550/arxiv.1107.4132 · pith_short_12: SRUUC55KJVLC · pith_short_16: SRUUC55KJVLCY23K · pith_short_8: SRUUC55K

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/SRUUC55KJVLCY23KCJF7HLQFKS \
  | 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: 94694177aa4d562c6b6a124bf3ae05549a068782e83b33bfbf3f6e64970bb4dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c9b2c31e27dd977aa52e63ad21b7e20233432cff5b0cf794c647255d27eb90",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-20T22:26:08Z",
    "title_canon_sha256": "4272d0a555cd38fb63a2d8d3200861edd9a80a2c1018e111f338b87b9ba95146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4132",
    "kind": "arxiv",
    "version": 2
  }
}