Pith Number

pith:IFNSWAUI

pith:2025:IFNSWAUI6LVXFYELZZF2PJL7YG

not attested not anchored not stored refs pending

Tight bounds of norms of Wasserstein metric matrix

Aaisha Be, Debasisha Mishra, Nachiketa Mishra

arxiv:2506.15326 v1 · 2025-06-18 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFNSWAUI6LVXFYELZZF2PJL7YG}

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	2026-07-05T11:23:41.415404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415b2b0288f2eb72e08bce4ba7a57fc1814fedc1441fdb6e14ea9006d09e977b

Aliases

arxiv: 2506.15326 · arxiv_version: 2506.15326v1 · doi: 10.48550/arxiv.2506.15326 · pith_short_12: IFNSWAUI6LVX · pith_short_16: IFNSWAUI6LVXFYEL · pith_short_8: IFNSWAUI

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/IFNSWAUI6LVXFYELZZF2PJL7YG \
  | 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: 415b2b0288f2eb72e08bce4ba7a57fc1814fedc1441fdb6e14ea9006d09e977b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07abc3a10451ef1cb2f9f4804eea53c28b369e422dc09cba117a37b5d15fd1ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-18T09:54:20Z",
    "title_canon_sha256": "3cfa65b09debaf6e3106e9f069b9ee848b18d0ee5e3f480830dff678126d0c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15326",
    "kind": "arxiv",
    "version": 1
  }
}