Pith Number

pith:TM66LYZK

pith:2025:TM66LYZK7DXMMJAGZV4GYQI3R5

not attested not anchored not stored refs pending

Almost-invariant elements of group actions on Lip$_0$ spaces

Tom\'a\v{s} Raunig

arxiv:2506.06770 v1 · 2025-06-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TM66LYZK7DXMMJAGZV4GYQI3R5}

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	2026-07-05T11:17:55.338146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3de5e32af8eec62406cd786c411b8f57d9559aac2a3061c63cdc8135cae59d

Aliases

arxiv: 2506.06770 · arxiv_version: 2506.06770v1 · doi: 10.48550/arxiv.2506.06770 · pith_short_12: TM66LYZK7DXM · pith_short_16: TM66LYZK7DXMMJAG · pith_short_8: TM66LYZK

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/TM66LYZK7DXMMJAGZV4GYQI3R5 \
  | 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: 9b3de5e32af8eec62406cd786c411b8f57d9559aac2a3061c63cdc8135cae59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee006aa63bddf8ee750ca9779d883f9cf4126b29935f91ecc94d7e5de0c070f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-07T11:36:50Z",
    "title_canon_sha256": "e63ece8957fca64ee08ab6ce9694b7e6939682cbbf0ed2f2c81e4438838c1761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06770",
    "kind": "arxiv",
    "version": 1
  }
}