Pith Number

pith:AWHX5YHB

pith:2017:AWHX5YHBWCONKYPO4MOZP4ENLC

not attested not anchored not stored refs pending

Mean ergodicity vs weak almost periodicity

Jochen Gl\"uck, Moritz Gerlach

arxiv:1709.02400 v2 · 2017-09-07 · 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{AWHX5YHBWCONKYPO4MOZP4ENLC}

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	2026-05-18T00:21:56.891834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058f7ee0e1b09cd561eee31d97f08d58b09b120899e45682e395e7b4cbfd6fe8

Aliases

arxiv: 1709.02400 · arxiv_version: 1709.02400v2 · doi: 10.48550/arxiv.1709.02400 · pith_short_12: AWHX5YHBWCON · pith_short_16: AWHX5YHBWCONKYPO · pith_short_8: AWHX5YHB

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/AWHX5YHBWCONKYPO4MOZP4ENLC \
  | 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: 058f7ee0e1b09cd561eee31d97f08d58b09b120899e45682e395e7b4cbfd6fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa5dfec0fffe06722bc5fc1a25a24e5f9ed6c11b47fbb8dd6c57ddb7185efc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-07T18:23:10Z",
    "title_canon_sha256": "8efa0d928f5251c004f0984d71a5776dd0335a4b16471b144d55830061b28314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02400",
    "kind": "arxiv",
    "version": 2
  }
}