Pith Number

pith:2CUMG42R

pith:2017:2CUMG42RQAWSD3RQVPKAEYQYFW

not attested not anchored not stored refs pending

Decrease of Fourier coefficients of stationary measures

Jialun Li

arxiv:1706.07184 v3 · 2017-06-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CUMG42RQAWSD3RQVPKAEYQYFW}

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	2026-05-18T00:19:59.108811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0a8c37351802d21ee30abd40262182d9ebbea6990cf71b73d35a3b9e7c9d5e9

Aliases

arxiv: 1706.07184 · arxiv_version: 1706.07184v3 · doi: 10.48550/arxiv.1706.07184 · pith_short_12: 2CUMG42RQAWS · pith_short_16: 2CUMG42RQAWSD3RQ · pith_short_8: 2CUMG42R

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/2CUMG42RQAWSD3RQVPKAEYQYFW \
  | 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: d0a8c37351802d21ee30abd40262182d9ebbea6990cf71b73d35a3b9e7c9d5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6e1a34ee0d896c7325e9b68499ae9bf585c8305693ca15f6911e1ab9dc4666",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-22T07:13:58Z",
    "title_canon_sha256": "b33cc2cef9cbfbb2063b4a570632b7bfc00aea940035e4899cae9de54be1cd1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07184",
    "kind": "arxiv",
    "version": 3
  }
}