Pith Number

pith:EEAMHI37

pith:2026:EEAMHI37ZCFNEQ344EPI4QPEBA

not attested not anchored not stored refs pending

Exponential convergence can happen in weighted Birkhoff averages via quasi-periodicity with arbitrary nonresonance and low regularity

Zhicheng Tong

arxiv:2607.21950 v1 · 2026-07-24 · 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{EEAMHI37ZCFNEQ344EPI4QPEBA}

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.

Cited by

1 paper in Pith

Laskar's frequency map analysis revisited

Receipt and verification

First computed	2026-07-27T00:20:29.371290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2100c3a37fc88ad2437ce11e8e41e4083ae655056c1adb3783bcb524c8e4ee97

Aliases

arxiv: 2607.21950 · arxiv_version: 2607.21950v1 · doi: 10.48550/arxiv.2607.21950 · pith_short_12: EEAMHI37ZCFN · pith_short_16: EEAMHI37ZCFNEQ34 · pith_short_8: EEAMHI37

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/EEAMHI37ZCFNEQ344EPI4QPEBA \
  | 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: 2100c3a37fc88ad2437ce11e8e41e4083ae655056c1adb3783bcb524c8e4ee97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6edee6673c1f875e27ee6e61b3499dd422eb6a025909287490cf82d854d3da01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-24T03:53:25Z",
    "title_canon_sha256": "3707719fafa1ff57e2c4c46b8b119cd1e14a484d29b95f384fb3f807abc42318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21950",
    "kind": "arxiv",
    "version": 1
  }
}