Pith Number

pith:ZNYKAS4K

pith:2014:ZNYKAS4KCUY2N3IKVO3G5WO6AD

not attested not anchored not stored refs pending

From optimal transportation to optimal teleportation

Gershon Wolansky

arxiv:1402.3990 v5 · 2014-02-17 · 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{ZNYKAS4KCUY2N3IKVO3G5WO6AD}

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	2026-05-18T01:17:37.979779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb70a04b8a1531a6ed0aabb66ed9de00f11f6619c2f01458b656bf2d01a50560

Aliases

arxiv: 1402.3990 · arxiv_version: 1402.3990v5 · doi: 10.48550/arxiv.1402.3990 · pith_short_12: ZNYKAS4KCUY2 · pith_short_16: ZNYKAS4KCUY2N3IK · pith_short_8: ZNYKAS4K

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/ZNYKAS4KCUY2N3IKVO3G5WO6AD \
  | 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: cb70a04b8a1531a6ed0aabb66ed9de00f11f6619c2f01458b656bf2d01a50560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14e2d56ac180d982c11212f54ebec9932f3125a3aa65c97ae9cef0349e22547",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-17T13:12:54Z",
    "title_canon_sha256": "2fde8e9c69013d6c7e16c4aca84b3e7c77aece587393ce2e22ff46b3b250eec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3990",
    "kind": "arxiv",
    "version": 5
  }
}