Pith Number

pith:TPPE3YUJ

pith:2025:TPPE3YUJBMD33RSO5YUFSGXIXU

not attested not anchored not stored refs pending

Transverse Spheres in Flag Manifolds

J. Maxwell Riestenberg, Parker Evans

arxiv:2507.19306 v1 · 2025-07-25 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPPE3YUJBMD33RSO5YUFSGXIXU}

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	2026-07-05T11:43:23.260686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bde4de2890b07bdc64eee28591ae8bd0f31f4be5fdbe7245f1facee0e35c379

Aliases

arxiv: 2507.19306 · arxiv_version: 2507.19306v1 · doi: 10.48550/arxiv.2507.19306 · pith_short_12: TPPE3YUJBMD3 · pith_short_16: TPPE3YUJBMD33RSO · pith_short_8: TPPE3YUJ

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/TPPE3YUJBMD33RSO5YUFSGXIXU \
  | 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: 9bde4de2890b07bdc64eee28591ae8bd0f31f4be5fdbe7245f1facee0e35c379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34932d66dcfac72fd921344c7036ac2d18324a846f3a71c3cc2420a4ffd35bf",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-25T14:22:18Z",
    "title_canon_sha256": "a446da21e44d46627fdc88b567f336c48459c790a2c9ac61e9114e5c8ef4bad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19306",
    "kind": "arxiv",
    "version": 1
  }
}