Pith Number

pith:OMVCEWVM

pith:2010:OMVCEWVMMHGRQYCM5IB2VW7VQ4

not attested not anchored not stored refs pending

A General Backwards Calculus of Variations via Duality

Agnieszka B. Malinowska, Delfim F. M. Torres

arxiv:1007.1679 v1 · 2010-07-09 · 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{OMVCEWVMMHGRQYCM5IB2VW7VQ4}

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	2026-05-18T04:12:21.231448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

732a225aac61cd18604cea03aadbf5872d35cad3e60b5a1b870af78449714044

Aliases

arxiv: 1007.1679 · arxiv_version: 1007.1679v1 · doi: 10.48550/arxiv.1007.1679 · pith_short_12: OMVCEWVMMHGR · pith_short_16: OMVCEWVMMHGRQYCM · pith_short_8: OMVCEWVM

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/OMVCEWVMMHGRQYCM5IB2VW7VQ4 \
  | 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: 732a225aac61cd18604cea03aadbf5872d35cad3e60b5a1b870af78449714044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b432fbaa34174a44867c1d5237a22a6afb2ac6e5b57a439afd3514f7d8d350e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-07-09T22:08:20Z",
    "title_canon_sha256": "30375183a7a57f6a43453a50515c18abb15363e912b6be0850d5c4a82264bc3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1679",
    "kind": "arxiv",
    "version": 1
  }
}