Pith Number

pith:7TEWPQXR

pith:2025:7TEWPQXRPNRLTJAILNH2HIK6FR

not attested not anchored not stored refs pending

Loop space blow-up and scale calculus

Joa Weber, Urs Frauenfelder

arxiv:2509.07752 v1 · 2025-09-09 · math.SG · math.DS · 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{7TEWPQXRPNRLTJAILNH2HIK6FR}

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	2026-07-05T12:07:27.571869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc967c2f17b62b9a4085b4fa3a15e2c650334a0e41b8b35613aa1a209376183

Aliases

arxiv: 2509.07752 · arxiv_version: 2509.07752v1 · doi: 10.48550/arxiv.2509.07752 · pith_short_12: 7TEWPQXRPNRL · pith_short_16: 7TEWPQXRPNRLTJAI · pith_short_8: 7TEWPQXR

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/7TEWPQXRPNRLTJAILNH2HIK6FR \
  | 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: fcc967c2f17b62b9a4085b4fa3a15e2c650334a0e41b8b35613aa1a209376183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be6720f052cfb447bfef520bef5e5fbbcfb699d9285935b784db830679c26a1",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-09-09T13:52:31Z",
    "title_canon_sha256": "daf1c2022e44087219a549eab6337080a7e5d5e18ddf2f6a771625ecad7be0b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07752",
    "kind": "arxiv",
    "version": 1
  }
}