Pith Number

pith:YRDPRGUL

pith:2026:YRDPRGULIWNZS7VVV32YQ2OXFK

not attested not anchored not stored refs pending

Notes on Wasserstein distance and wormholes

Ville Keranen

arxiv:2606.01296 v1 · 2026-05-31 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRDPRGULIWNZS7VVV32YQ2OXFK}

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	2026-06-02T02:04:29.351484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c446f89a8b459b997eb5aef58869d72aaf4533b118a1570d7a26dfe148db7545

Aliases

arxiv: 2606.01296 · arxiv_version: 2606.01296v1 · doi: 10.48550/arxiv.2606.01296 · pith_short_12: YRDPRGULIWNZ · pith_short_16: YRDPRGULIWNZS7VV · pith_short_8: YRDPRGUL

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/YRDPRGULIWNZS7VVV32YQ2OXFK \
  | 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: c446f89a8b459b997eb5aef58869d72aaf4533b118a1570d7a26dfe148db7545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717763002e2af2b36b6ad1c3dc27785e5c7a3afb3a90684143b6051952057384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-31T15:33:47Z",
    "title_canon_sha256": "68d24a607dcff2d6dc6ebd465480e8330b0ce3d3a89620293fb641be2c6d2354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01296",
    "kind": "arxiv",
    "version": 1
  }
}