Pith Number

pith:RRPPB3E3

pith:2017:RRPPB3E366NM3765PLVGYBDTIV

not attested not anchored not stored refs pending

Convex duality in nonlinear optimal transport

Ari-Pekka Perkki\"o, Teemu Pennanen

arxiv:1710.10981 v1 · 2017-10-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRPPB3E366NM3765PLVGYBDTIV}

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	2026-05-18T00:31:45.944741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c5ef0ec9bf79acdffdd7aea6c04734570a711dc385b6f406b1834b1bdf314bd

Aliases

arxiv: 1710.10981 · arxiv_version: 1710.10981v1 · doi: 10.48550/arxiv.1710.10981 · pith_short_12: RRPPB3E366NM · pith_short_16: RRPPB3E366NM3765 · pith_short_8: RRPPB3E3

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/RRPPB3E366NM3765PLVGYBDTIV \
  | 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: 8c5ef0ec9bf79acdffdd7aea6c04734570a711dc385b6f406b1834b1bdf314bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c36aba9dbbdfa2ef7fa1175a05b0fd7a2419987720a1943e922ec7911e52ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-30T14:38:29Z",
    "title_canon_sha256": "ca6bf72dbb0ab150349c162d65334e18ffe8ccad656357c87ee30e4e78a46f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10981",
    "kind": "arxiv",
    "version": 1
  }
}