Pith Number

pith:PUACDBE5

pith:1998:PUACDBE53ECLGVXW6CMTSYMSG7

not attested not anchored not stored refs pending

Rademacher's theorem on configuration spaces and applications

Alexander Schied, Michael R\"ockner

arxiv:math/9802131 v1 · 1998-02-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUACDBE53ECLGVXW6CMTSYMSG7}

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	2026-05-18T03:58:05.247932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0021849dd904b356f6f09939619237f0fcf135c0ac19a9bd16f6272ac5fb54

Aliases

arxiv: math/9802131 · arxiv_version: math/9802131v1 · doi: 10.48550/arxiv.math/9802131 · pith_short_12: PUACDBE53ECL · pith_short_16: PUACDBE53ECLGVXW · pith_short_8: PUACDBE5

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/PUACDBE53ECLGVXW6CMTSYMSG7 \
  | 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: 7d0021849dd904b356f6f09939619237f0fcf135c0ac19a9bd16f6272ac5fb54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add060752a11fe13736cef77dfc8678127cb59d4a0d57227d21ab8687fda0523",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-02-23T00:00:00Z",
    "title_canon_sha256": "e535033be7df78edb94986f88fff64effa190ff3e7c11b20ae5c88688f539696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802131",
    "kind": "arxiv",
    "version": 1
  }
}