Pith Number

pith:RKPUA7OR

pith:2025:RKPUA7ORGVNMMG7B2OZ7IYA672

not attested not anchored not stored refs pending

Notes on the Invariance of Tautness Under Lie Sphere Transformations

Thomas E. Cecil

arxiv:2506.08834 v1 · 2025-06-10 · 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{RKPUA7ORGVNMMG7B2OZ7IYA672}

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	2026-07-05T11:19:13.919527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a9f407dd1355ac61be1d3b3f4601efe83442a921016be7b2b74a373061339f5

Aliases

arxiv: 2506.08834 · arxiv_version: 2506.08834v1 · doi: 10.48550/arxiv.2506.08834 · pith_short_12: RKPUA7ORGVNM · pith_short_16: RKPUA7ORGVNMMG7B · pith_short_8: RKPUA7OR

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/RKPUA7ORGVNMMG7B2OZ7IYA672 \
  | 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: 8a9f407dd1355ac61be1d3b3f4601efe83442a921016be7b2b74a373061339f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386dc30e929c5608ae66c5b038ccafbdab098f69e5badd6a7740adf14ef8246b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-10T14:21:44Z",
    "title_canon_sha256": "9803d7ef5110abab67e6ece67e1196240202b0247861ac888d8ce147d0899d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08834",
    "kind": "arxiv",
    "version": 1
  }
}