Pith Number

pith:FBEDXNSQ

pith:2026:FBEDXNSQJCN4MRP3BQL7QIGJVW

not attested not anchored not stored refs pending

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics

Bang-Xian Han, Zhuo-Nan Zhu

arxiv:2607.10769 v1 · 2026-07-12 · math.PR · math.FA · math.MG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBEDXNSQJCN4MRP3BQL7QIGJVW}

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	2026-07-14T01:21:39.191426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28483bb650489bc645fb0c17f820c9ad9f0bf47bf2ab7bc6128d628fa2c52896

Aliases

arxiv: 2607.10769 · arxiv_version: 2607.10769v1 · doi: 10.48550/arxiv.2607.10769 · pith_short_12: FBEDXNSQJCN4 · pith_short_16: FBEDXNSQJCN4MRP3 · pith_short_8: FBEDXNSQ

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/FBEDXNSQJCN4MRP3BQL7QIGJVW \
  | 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: 28483bb650489bc645fb0c17f820c9ad9f0bf47bf2ab7bc6128d628fa2c52896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0176cb936cc12f84c0c72213f4c581911a9a7acb8a6286d0bc49635cc92202b5",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-12T13:51:42Z",
    "title_canon_sha256": "448401d893c30fed152dabf371826b2d5bb0f06d3737e583fbf01aacaaf2552c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10769",
    "kind": "arxiv",
    "version": 1
  }
}