Pith Number

pith:Q4GKLLZC

pith:2017:Q4GKLLZC2DAWIZDST7RGI6BBKB

not attested not anchored not stored refs pending

Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications

Ernest K. Ryu, Stanley Osher, Wuchen Li, Yongxin Chen

arxiv:1712.10279 v2 · 2017-12-29 · math.OC · cs.SY · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4GKLLZC2DAWIZDST7RGI6BBKB}

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	2026-05-18T00:13:04.856250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870ca5af22d0c16464729fe2647821506be15b3ee26aedd99e6b8aefcf903cd4

Aliases

arxiv: 1712.10279 · arxiv_version: 1712.10279v2 · doi: 10.48550/arxiv.1712.10279 · pith_short_12: Q4GKLLZC2DAW · pith_short_16: Q4GKLLZC2DAWIZDS · pith_short_8: Q4GKLLZC

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/Q4GKLLZC2DAWIZDST7RGI6BBKB \
  | 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: 870ca5af22d0c16464729fe2647821506be15b3ee26aedd99e6b8aefcf903cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3755dae8e706609d2333ad48aa293cea9ba7790351e2e52e1f38e9360ad4d3",
    "cross_cats_sorted": [
      "cs.SY",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-29T17:14:52Z",
    "title_canon_sha256": "ab5cb0e01e24969f302c9c3dbdec1a7f0f7d8f5187a0c3449bf2bded7498282e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10279",
    "kind": "arxiv",
    "version": 2
  }
}