Pith Number

pith:TVAABGJH

pith:2025:TVAABGJHFLKWOSH3J4Z6YT5SCE

not attested not anchored not stored refs pending

Lacunary elliptic maximal operator on the Heisenberg group

Jeongtae Oh, Joonil Kim

arxiv:2501.11928 v1 · 2025-01-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVAABGJHFLKWOSH3J4Z6YT5SCE}

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	2026-07-05T10:03:16.131779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d400099272ad56748fb4f33ec4fb2111b7672a2ac0e8c3ecc0f544a6601f445

Aliases

arxiv: 2501.11928 · arxiv_version: 2501.11928v1 · doi: 10.48550/arxiv.2501.11928 · pith_short_12: TVAABGJHFLKW · pith_short_16: TVAABGJHFLKWOSH3 · pith_short_8: TVAABGJH

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/TVAABGJHFLKWOSH3J4Z6YT5SCE \
  | 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: 9d400099272ad56748fb4f33ec4fb2111b7672a2ac0e8c3ecc0f544a6601f445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42025dd6195c43dd79ec29af571027871b1a0be237b4fd9ae5bc0c9393d7a08c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-01-21T07:05:05Z",
    "title_canon_sha256": "99dd960f834e02eb0dcb9ff02e9b3bcbb11a5eebfcb7248ced6da1553efda3ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11928",
    "kind": "arxiv",
    "version": 1
  }
}