Pith Number

pith:YGPP64O2

pith:2012:YGPP64O2HKXLCXSNSZOXD2CSDL

not attested not anchored not stored refs pending

Presymplectic high order maximum principle

M. Barbero-Li\~n\'an, M. C. Mu\~noz-Lecanda

arxiv:1210.6773 v1 · 2012-10-25 · math.OC · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGPP64O2HKXLCXSNSZOXD2CSDL}

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	2026-05-18T03:42:23.177749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19eff71da3aaeb15e4d965d71e8521af67eba796b06ff7cac080fb0cb3a4d8b

Aliases

arxiv: 1210.6773 · arxiv_version: 1210.6773v1 · doi: 10.48550/arxiv.1210.6773 · pith_short_12: YGPP64O2HKXL · pith_short_16: YGPP64O2HKXLCXSN · pith_short_8: YGPP64O2

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/YGPP64O2HKXLCXSNSZOXD2CSDL \
  | 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: c19eff71da3aaeb15e4d965d71e8521af67eba796b06ff7cac080fb0cb3a4d8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56090b5be6397512816de17299029e3ae93f362069339a9ed70cf3736a5667c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-25T09:43:54Z",
    "title_canon_sha256": "f0c1d440b8fdbeb38233ba3fcbe3eaba96027a1be2bf666dbd3c6af71c251791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6773",
    "kind": "arxiv",
    "version": 1
  }
}