Pith Number

pith:A3QMI5EO

pith:2013:A3QMI5EO3EQDOPEYYI4ELJL2PM

not attested not anchored not stored refs pending

Linear programming duality for geometers

Gergely Ambrus

arxiv:1306.4850 v2 · 2013-06-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3QMI5EO3EQDOPEYYI4ELJL2PM}

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	2026-05-18T03:04:59.364850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e0c4748ed920373c98c23845a57a7b0bbb2b9d1b8d068195ca85ecf8955c6b

Aliases

arxiv: 1306.4850 · arxiv_version: 1306.4850v2 · doi: 10.48550/arxiv.1306.4850 · pith_short_12: A3QMI5EO3EQD · pith_short_16: A3QMI5EO3EQDOPEY · pith_short_8: A3QMI5EO

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/A3QMI5EO3EQDOPEYYI4ELJL2PM \
  | 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: 06e0c4748ed920373c98c23845a57a7b0bbb2b9d1b8d068195ca85ecf8955c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74257f13d4ff65962d396b1c3f2bb37b633ab2d65291af3abea179e5fe80210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-20T12:34:29Z",
    "title_canon_sha256": "86cc83a6135f7d068fc5a7950b320963b3440ef1d118118be08c91077e075872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4850",
    "kind": "arxiv",
    "version": 2
  }
}