Pith Number

pith:GOITYN3R

pith:2020:GOITYN3R7PHU5AQPN5EH5DGHMS

not attested not anchored not stored refs pending

Optimization under rare chance constraints

Anirudh Subramanyam, Shanyin Tong, Vishwas Rao

arxiv:2011.06052 v3 · 2020-11-11 · math.OC · math.PR · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOITYN3R7PHU5AQPN5EH5DGHMS}

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	2026-07-05T03:46:56.543777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33913c3771fbcf4e820f6f487e8cc76486d17c06b115d8d37a29ab1fb1554bb9

Aliases

arxiv: 2011.06052 · arxiv_version: 2011.06052v3 · doi: 10.48550/arxiv.2011.06052 · pith_short_12: GOITYN3R7PHU · pith_short_16: GOITYN3R7PHU5AQP · pith_short_8: GOITYN3R

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/GOITYN3R7PHU5AQPN5EH5DGHMS \
  | 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: 33913c3771fbcf4e820f6f487e8cc76486d17c06b115d8d37a29ab1fb1554bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2734617c3c1bf4813cc518f88d54f50b70acb2b3e6c211ab435dd611898072",
    "cross_cats_sorted": [
      "math.PR",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-11-11T20:09:50Z",
    "title_canon_sha256": "51aaca3bd2f9e0f327937f038793394a8a4a48b93a27f49f89f4bcf992cd0063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06052",
    "kind": "arxiv",
    "version": 3
  }
}