Pith Number

pith:CD2QTEKT

pith:2026:CD2QTEKT25EA4NAOYLN6U3FYOD

not attested not anchored not stored refs pending

Pyramidal Compactification of Asymmetric Metric Measure Spaces via Adjoint Transport

Shigeaki Yokota

arxiv:2608.01145 v1 · 2026-08-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CD2QTEKT25EA4NAOYLN6U3FYOD}

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	2026-08-04T01:57:03.687693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f5099153d7480e340ec2dbea6cb870e12ea5598be6fc47d2649e7a7a65bf27

Aliases

arxiv: 2608.01145 · arxiv_version: 2608.01145v1 · doi: 10.48550/arxiv.2608.01145 · pith_short_12: CD2QTEKT25EA · pith_short_16: CD2QTEKT25EA4NAO · pith_short_8: CD2QTEKT

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/CD2QTEKT25EA4NAOYLN6U3FYOD \
  | 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: 10f5099153d7480e340ec2dbea6cb870e12ea5598be6fc47d2649e7a7a65bf27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ad9d518c670901fb2fc8de922de8cd914541f115b0bfac8b1662e0a932a477",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-08-02T10:49:08Z",
    "title_canon_sha256": "94eaeb1dc63ef1ed9196418960a15604d051c5bb4105412d4d2a84ccb269ca00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01145",
    "kind": "arxiv",
    "version": 1
  }
}