Pith Number

pith:T6C4IT2U

pith:2013:T6C4IT2UMSHKSKXCIPCSYUPPFK

not attested not anchored not stored refs pending

On Sudakov's type decomposition of transference plans with norm costs

Sara Daneri, Stefano Bianchini

arxiv:1311.1918 v2 · 2013-11-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6C4IT2UMSHKSKXCIPCSYUPPFK}

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	2026-05-18T03:03:09.593457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f85c44f54648ea92ae243c52c51ef2a9ccddbda6259ff86f3f645d759df61d7

Aliases

arxiv: 1311.1918 · arxiv_version: 1311.1918v2 · doi: 10.48550/arxiv.1311.1918 · pith_short_12: T6C4IT2UMSHK · pith_short_16: T6C4IT2UMSHKSKXC · pith_short_8: T6C4IT2U

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/T6C4IT2UMSHKSKXCIPCSYUPPFK \
  | 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: 9f85c44f54648ea92ae243c52c51ef2a9ccddbda6259ff86f3f645d759df61d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e6510bb5b6653bb84c9a6cdbbfb4bd881cb9bf7093f50a2f5947cb59e590be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-08T10:02:48Z",
    "title_canon_sha256": "fab33bcd0eb75c8f452e28a39f77d3114221cab0c5a6a0ee472151232c7782da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1918",
    "kind": "arxiv",
    "version": 2
  }
}