Pith Number

pith:O5S3ZO33

pith:2012:O5S3ZO33HORTQ5BOJFOSJTBRT5

not attested not anchored not stored refs pending

Minimising the expected commute time

Ma. Elena Hernandez-Hernandez, Saul Jacka

arxiv:1207.2719 v3 · 2012-07-11 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5S3ZO33HORTQ5BOJFOSJTBRT5}

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	2026-05-17T23:58:06.119101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7765bcbb7b3ba338742e495d24cc319f7657579e150bb983a957ee5c3217f5e7

Aliases

arxiv: 1207.2719 · arxiv_version: 1207.2719v3 · doi: 10.48550/arxiv.1207.2719 · pith_short_12: O5S3ZO33HORT · pith_short_16: O5S3ZO33HORTQ5BO · pith_short_8: O5S3ZO33

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/O5S3ZO33HORTQ5BOJFOSJTBRT5 \
  | 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: 7765bcbb7b3ba338742e495d24cc319f7657579e150bb983a957ee5c3217f5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f17791ccf3f55ec003225b045fc4e5a24dbc74d7631adfdfe5bb45d530e853e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-11T17:44:03Z",
    "title_canon_sha256": "3fc184f22197b35b380a35f20e8019af6b8bb671b6a99e39c92b3376f9f46241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2719",
    "kind": "arxiv",
    "version": 3
  }
}