Pith Number

pith:PYNUEIWT

pith:2016:PYNUEIWTWB4UWGUECRPVOEN22H

not attested not anchored not stored refs pending

Optimal Transportation with Boundary Costs and Summability Estimates on the Transport Density

Samer Dweik (LM-Orsay)

arxiv:1609.08418 v1 · 2016-09-27 · math.FA · math.AP · 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{PYNUEIWTWB4UWGUECRPVOEN22H}

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	2026-05-18T01:03:45.941129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1b4222d3b0794b1a84145f5711bad1f4723f1a36dcbff8a92b8737c5dc095c

Aliases

arxiv: 1609.08418 · arxiv_version: 1609.08418v1 · doi: 10.48550/arxiv.1609.08418 · pith_short_12: PYNUEIWTWB4U · pith_short_16: PYNUEIWTWB4UWGUE · pith_short_8: PYNUEIWT

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/PYNUEIWTWB4UWGUECRPVOEN22H \
  | 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: 7e1b4222d3b0794b1a84145f5711bad1f4723f1a36dcbff8a92b8737c5dc095c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb171b2d54433bda693950713941ec35efa87bfb421636234fccbcc17417ded",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-27T13:27:49Z",
    "title_canon_sha256": "3880af2e05c2f0a4da6d6e688a55de87a79d70b2757bd617245745096d2b3d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08418",
    "kind": "arxiv",
    "version": 1
  }
}