Pith Number

pith:2TNHP2PW

pith:2026:2TNHP2PWDYVPLHGG45AV6MKFNO

not attested not anchored not stored refs pending

Bourgain's $L^2$ pointwise ergodic theorem over function fields

Andrew Lott, Th\'ai Ho\`ang L\^e

arxiv:2605.28997 v1 · 2026-05-27 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TNHP2PWDYVPLHGG45AV6MKFNO}

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	2026-05-29T01:04:43.005624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4da77e9f61e2af59cc6e7415f31456bb8f26fe5050bfe9cd4dec9525776c65c

Aliases

arxiv: 2605.28997 · arxiv_version: 2605.28997v1 · doi: 10.48550/arxiv.2605.28997 · pith_short_12: 2TNHP2PWDYVP · pith_short_16: 2TNHP2PWDYVPLHGG · pith_short_8: 2TNHP2PW

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/2TNHP2PWDYVPLHGG45AV6MKFNO \
  | 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: d4da77e9f61e2af59cc6e7415f31456bb8f26fe5050bfe9cd4dec9525776c65c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834e3e08fa65b6d979a9eb5bb1bd3380439f81675412cc32c99a083bce229565",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-27T18:53:57Z",
    "title_canon_sha256": "ef70206fe16228ff6f3817d673af608e0b5cffc752ff33f06d2c666a6759625e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28997",
    "kind": "arxiv",
    "version": 1
  }
}