Pith Number

pith:K2EQJFX7

pith:2025:K2EQJFX7CC55GRSXYGNM5S7UHN

not attested not anchored not stored refs pending

Optimal Transport on Lie Group Orbits

Bahar Taskesen

arxiv:2508.09377 v2 · 2025-08-12 · math.OC · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2EQJFX7CC55GRSXYGNM5S7UHN}

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	2026-05-22T01:03:45.237069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56890496ff10bbd34657c19acecbf43b52f83045f84daf43b0e1c2e8801251b6

Aliases

arxiv: 2508.09377 · arxiv_version: 2508.09377v2 · doi: 10.48550/arxiv.2508.09377 · pith_short_12: K2EQJFX7CC55 · pith_short_16: K2EQJFX7CC55GRSX · pith_short_8: K2EQJFX7

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/K2EQJFX7CC55GRSXYGNM5S7UHN \
  | 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: 56890496ff10bbd34657c19acecbf43b52f83045f84daf43b0e1c2e8801251b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e364e02ca0b6cef658d1266dc6079c83fe6379d376d94c2e4cad82b22e761c",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-12T22:26:23Z",
    "title_canon_sha256": "ec0ef95cbbaf5f49cab6a44e46fea92fd0c2e38cd8979a857e64e35ba2ac2e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09377",
    "kind": "arxiv",
    "version": 2
  }
}