Pith Number

pith:AUQMZT2F

pith:2016:AUQMZT2FFHK5DO7OQ6OQQTTX2T

not attested not anchored not stored refs pending

A class of multi-marginal c-cyclically monotone sets with explicit c-splitting potentials

Heinz H. Bauschke, Sedi Bartz, Xianfu Wang

arxiv:1608.04477 v2 · 2016-08-16 · math.OC · 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{AUQMZT2FFHK5DO7OQ6OQQTTX2T}

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	2026-05-18T00:49:32.222009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0520cccf4529d5d1bbee879d084e77d4e307e467e122ccb96a2a2618b192eeea

Aliases

arxiv: 1608.04477 · arxiv_version: 1608.04477v2 · doi: 10.48550/arxiv.1608.04477 · pith_short_12: AUQMZT2FFHK5 · pith_short_16: AUQMZT2FFHK5DO7O · pith_short_8: AUQMZT2F

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/AUQMZT2FFHK5DO7OQ6OQQTTX2T \
  | 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: 0520cccf4529d5d1bbee879d084e77d4e307e467e122ccb96a2a2618b192eeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6287196e33f0f6602e9ed91104b1cab5d20feca0a42ac9bd685daad2b1539e6a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-16T04:29:12Z",
    "title_canon_sha256": "29ae17c92545592309480618a51394d509e658e6416a60c6da176c1a0a831190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04477",
    "kind": "arxiv",
    "version": 2
  }
}