Pith Number

pith:WGAD4MNB

pith:2011:WGAD4MNB5LDFJT4FNOZRD7RKZ7

not attested not anchored not stored refs pending

On the Minimum Time Function Around the Origin

Giovanni Colombo, Khai Tien Nguyen

arxiv:1110.0088 v1 · 2011-10-01 · 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{WGAD4MNB5LDFJT4FNOZRD7RKZ7}

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	2026-05-18T04:11:50.786548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1803e31a1eac654cf856bb311fe2acfe01b64d88225a1f883aa366a4f3df942

Aliases

arxiv: 1110.0088 · arxiv_version: 1110.0088v1 · doi: 10.48550/arxiv.1110.0088 · pith_short_12: WGAD4MNB5LDF · pith_short_16: WGAD4MNB5LDFJT4F · pith_short_8: WGAD4MNB

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/WGAD4MNB5LDFJT4FNOZRD7RKZ7 \
  | 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: b1803e31a1eac654cf856bb311fe2acfe01b64d88225a1f883aa366a4f3df942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897d3384310bd5725c7c4d9e84a7a56595d8312d2c073fcfa39391a14606a2bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-01T09:33:22Z",
    "title_canon_sha256": "800fdbfdd79b0cfd549f55be4f3055d08b826ada9e738833961061fc2074292d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0088",
    "kind": "arxiv",
    "version": 1
  }
}