Pith Number

pith:UMM2YW5K

pith:2025:UMM2YW5KVOX5J4NJ7NNWVNMUAY

not attested not anchored not stored refs pending

Closed Form of a Generalized Sinkhorn Limit

Max Chicky Fang

arxiv:2506.06338 v2 · 2025-05-31 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMM2YW5KVOX5J4NJ7NNWVNMUAY}

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	2026-07-05T11:22:41.505934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a319ac5baaabafd4f1a9fb5b6ab594061d27bc78ef627fb1ccdd5e63e070d219

Aliases

arxiv: 2506.06338 · arxiv_version: 2506.06338v2 · doi: 10.48550/arxiv.2506.06338 · pith_short_12: UMM2YW5KVOX5 · pith_short_16: UMM2YW5KVOX5J4NJ · pith_short_8: UMM2YW5K

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/UMM2YW5KVOX5J4NJ7NNWVNMUAY \
  | 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: a319ac5baaabafd4f1a9fb5b6ab594061d27bc78ef627fb1ccdd5e63e070d219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e831a0ef9d7c4071c169c437aeb92bf67ca1352cec642c0fde7f539d0aa8812",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-31T19:37:22Z",
    "title_canon_sha256": "852175472482ecc413a5966ca3df5ffab008c5e1b99d38e591f68774afea3eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06338",
    "kind": "arxiv",
    "version": 2
  }
}