Pith Number

pith:ZRSFKXIS

pith:2013:ZRSFKXISH2Y6WQE3TCCBZK3WBX

not attested not anchored not stored refs pending

Dual potentials for capacity constrained optimal transport

Christian Seis, Jonathan Korman, Robert J. McCann

arxiv:1307.7774 v2 · 2013-07-30 · 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{ZRSFKXISH2Y6WQE3TCCBZK3WBX}

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	2026-05-18T02:57:23.665221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc64555d123eb1eb409b98841cab760dc7fcf5692878b6a6b0f9469a691f1584

Aliases

arxiv: 1307.7774 · arxiv_version: 1307.7774v2 · doi: 10.48550/arxiv.1307.7774 · pith_short_12: ZRSFKXISH2Y6 · pith_short_16: ZRSFKXISH2Y6WQE3 · pith_short_8: ZRSFKXIS

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/ZRSFKXISH2Y6WQE3TCCBZK3WBX \
  | 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: cc64555d123eb1eb409b98841cab760dc7fcf5692878b6a6b0f9469a691f1584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1036657e635fa6a91ee88f5d3d28dcae97e3ec9d114a770afc3518ff88e5ad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-30T01:39:01Z",
    "title_canon_sha256": "c027cbb84ea147b71c5c63c85c3ef8c6afb3d51e19d16b8a04153c02b5a0d4c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7774",
    "kind": "arxiv",
    "version": 2
  }
}