Pith Number

pith:U5MIC2M4

pith:2013:U5MIC2M4FMTO6QMOWOYHWA54ZC

not attested not anchored not stored refs pending

Gauge optimization and duality

Ives Macedo, Michael P. Friedlander, Ting Kei Pong

arxiv:1310.2639 v3 · 2013-10-09 · 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{U5MIC2M4FMTO6QMOWOYHWA54ZC}

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	2026-05-18T00:07:33.490843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75881699c2b26ef418eb3b07b03bcc8859a7ac29bacd6ceaee37e9dc5098cb9

Aliases

arxiv: 1310.2639 · arxiv_version: 1310.2639v3 · doi: 10.48550/arxiv.1310.2639 · pith_short_12: U5MIC2M4FMTO · pith_short_16: U5MIC2M4FMTO6QMO · pith_short_8: U5MIC2M4

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/U5MIC2M4FMTO6QMOWOYHWA54ZC \
  | 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: a75881699c2b26ef418eb3b07b03bcc8859a7ac29bacd6ceaee37e9dc5098cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f971206d1701a3e520c806b4c5d2cb9d69f2583686b80c85a5565e7a1db38c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-09T21:43:01Z",
    "title_canon_sha256": "6796c89175275fb05f93c47df3dbc77880316fd16a42b9950f649c4d4463bad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2639",
    "kind": "arxiv",
    "version": 3
  }
}