Pith Number

pith:DCNA6OEO

pith:2013:DCNA6OEOQQUYIP3RXWTIRWY5QT

not attested not anchored not stored refs pending

Optimal Transportation for Generalized Lagrangian

Jianlu Zhang, Ji Li

arxiv:1312.0345 v1 · 2013-12-02 · math.DS · 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{DCNA6OEOQQUYIP3RXWTIRWY5QT}

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	2026-05-18T03:05:45.967998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189a0f388e8429843f71bda688db1d84da12e15bc3d0eaf4f4729e98ae33e6e6

Aliases

arxiv: 1312.0345 · arxiv_version: 1312.0345v1 · doi: 10.48550/arxiv.1312.0345 · pith_short_12: DCNA6OEOQQUY · pith_short_16: DCNA6OEOQQUYIP3R · pith_short_8: DCNA6OEO

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/DCNA6OEOQQUYIP3RXWTIRWY5QT \
  | 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: 189a0f388e8429843f71bda688db1d84da12e15bc3d0eaf4f4729e98ae33e6e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e54d6449d33f969cf01951b8001cd8797db744b8fcf59048475bef799383446",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-02T06:59:35Z",
    "title_canon_sha256": "471c8438ba308aed823555cfac8c612f1c349edac335d9199b44a4485fd6f2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0345",
    "kind": "arxiv",
    "version": 1
  }
}