Pith Number

pith:CJ6JLSA7

pith:2025:CJ6JLSA7QA3JPMSZLX4445JW7E

not attested not anchored not stored refs pending

Simply connectedness of spaces of tight frames

Augustin-Liviu Mare

arxiv:2508.02484 v2 · 2025-08-04 · math.FA · 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{CJ6JLSA7QA3JPMSZLX4445JW7E}

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	2026-05-20T00:02:52.421832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127c95c81f803697b2595df9ce7536f9334f65245e172ee2dbf1ddc870661ddc

Aliases

arxiv: 2508.02484 · arxiv_version: 2508.02484v2 · doi: 10.48550/arxiv.2508.02484 · pith_short_12: CJ6JLSA7QA3J · pith_short_16: CJ6JLSA7QA3JPMSZ · pith_short_8: CJ6JLSA7

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/CJ6JLSA7QA3JPMSZLX4445JW7E \
  | 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: 127c95c81f803697b2595df9ce7536f9334f65245e172ee2dbf1ddc870661ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc557ab90fb359d10080460497eb062181eb72ba26972631770cd7189bf1a4d8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-08-04T14:54:07Z",
    "title_canon_sha256": "bd4b99f30095cf1e6793cdfb7210e6ce961f9a5030118d26bd0c4c3070056ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02484",
    "kind": "arxiv",
    "version": 2
  }
}