Pith Number

pith:A3FMKLW5

pith:2013:A3FMKLW57P6WAY5QQBDE5473NQ

not attested not anchored not stored refs pending

On the ergodic theorem for affine actions on Hilbert space

Ionut Chifan, Thomas Sinclair

arxiv:1305.6547 v1 · 2013-05-28 · 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{A3FMKLW57P6WAY5QQBDE5473NQ}

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	2026-05-18T00:23:02.331148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06cac52eddfbfd6063b080464ef3fb6c394fc56a4d396196bb23d05068be9c8e

Aliases

arxiv: 1305.6547 · arxiv_version: 1305.6547v1 · doi: 10.48550/arxiv.1305.6547 · pith_short_12: A3FMKLW57P6W · pith_short_16: A3FMKLW57P6WAY5Q · pith_short_8: A3FMKLW5

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/A3FMKLW57P6WAY5QQBDE5473NQ \
  | 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: 06cac52eddfbfd6063b080464ef3fb6c394fc56a4d396196bb23d05068be9c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e80cb484b9ada38593b29fa7d7887262007fff00da4c34c139819106c58a8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-28T16:09:13Z",
    "title_canon_sha256": "cd2cc4800b1173f4b35cd00c90c2d44d1edbbb69dbdc643571cee55fc2c89e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6547",
    "kind": "arxiv",
    "version": 1
  }
}