Pith Number

pith:3CK65YRG

pith:2026:3CK65YRGQHGBTHG6ECSPROMUBG

not attested not anchored not stored refs pending

Fractal Remez inequality on the sphere and observability of the heat equation

Shanlin Huang, Xinyi Chen

arxiv:2607.26904 v1 · 2026-07-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CK65YRGQHGBTHG6ECSPROMUBG}

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	2026-07-30T01:22:57.384267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d895eee22681cc199cde20a4f8b9940997d07f2841d4a38ca6a5efb9ce940f1e

Aliases

arxiv: 2607.26904 · arxiv_version: 2607.26904v1 · doi: 10.48550/arxiv.2607.26904 · pith_short_12: 3CK65YRGQHGB · pith_short_16: 3CK65YRGQHGBTHG6 · pith_short_8: 3CK65YRG

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/3CK65YRGQHGBTHG6ECSPROMUBG \
  | 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: d895eee22681cc199cde20a4f8b9940997d07f2841d4a38ca6a5efb9ce940f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60afd67e963e836c5149a72367ad85edc6ab13168adef8e02b03dbdbf16e931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-29T13:36:09Z",
    "title_canon_sha256": "0953149fd893cae245cb90a027c69106a6272225a3b467501eaa875312ad9650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26904",
    "kind": "arxiv",
    "version": 1
  }
}