Pith Number

pith:TO772IVN

pith:2025:TO772IVNF5QJFUAYQDDPP6MQER

not attested not anchored not stored refs pending

Hilbert manifold structures on path spaces

Joa Weber, Urs Frauenfelder

arxiv:2507.03782 v1 · 2025-07-04 · math.SG · math.AP · math.DG · 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{TO772IVNF5QJFUAYQDDPP6MQER}

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	2026-07-05T11:32:34.330656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bbffd22ad2f6092d01880c6f7f99024663d073a171d3f527680678039cf85b0

Aliases

arxiv: 2507.03782 · arxiv_version: 2507.03782v1 · doi: 10.48550/arxiv.2507.03782 · pith_short_12: TO772IVNF5QJ · pith_short_16: TO772IVNF5QJFUAY · pith_short_8: TO772IVN

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/TO772IVNF5QJFUAYQDDPP6MQER \
  | 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: 9bbffd22ad2f6092d01880c6f7f99024663d073a171d3f527680678039cf85b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144aad6da9a13b48039e807a96678712c2eb15b6f1a471997c8b2d77a51e6e67",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-04T19:16:02Z",
    "title_canon_sha256": "70135c3bb9a803e53050958b9d4853e7b6128d8fab1ee83e41e0137003748d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03782",
    "kind": "arxiv",
    "version": 1
  }
}