Pith Number

pith:PJQGDJ2N

pith:2026:PJQGDJ2NVOR7I3VIELWPAHGMO6

not attested not anchored not stored refs pending

Extensions of One-Sided Box Geometry and Pyramid Invariants to gd-Sets and qm-Spaces

Shigeaki Yokota

arxiv:2608.12749 v1 · 2026-08-13 · math.MG · 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{PJQGDJ2NVOR7I3VIELWPAHGMO6}

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	2026-08-14T00:47:26.911344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6061a74daba3f46ea822ecf01ccc778be445a8e516a6d62938b5c4d8b31d26

Aliases

arxiv: 2608.12749 · arxiv_version: 2608.12749v1 · doi: 10.48550/arxiv.2608.12749 · pith_short_12: PJQGDJ2NVOR7 · pith_short_16: PJQGDJ2NVOR7I3VI · pith_short_8: PJQGDJ2N

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/PJQGDJ2NVOR7I3VIELWPAHGMO6 \
  | 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: 7a6061a74daba3f46ea822ecf01ccc778be445a8e516a6d62938b5c4d8b31d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5dd87f501aa481a0d2c6af7116570e973157111539f438755c77f9f60632e26",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-08-13T02:57:55Z",
    "title_canon_sha256": "5aae34a6cfa43e61f25d9523fcbd528a2042439d41bad5978a7856bcc444ba63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12749",
    "kind": "arxiv",
    "version": 1
  }
}