Pith Number

pith:DSSSLO33

pith:2025:DSSSLO33SAUVWU7OY6QLCQFBTV

not attested not anchored not stored refs pending

Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces

Angha Agarwal, Antti V. V\"ah\"akangas

arxiv:2506.05037 v1 · 2025-06-05 · math.CA · 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{DSSSLO33SAUVWU7OY6QLCQFBTV}

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	2026-07-05T11:16:41.428180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca525bb7b90295b53eec7a0b140a19d4c79cbbfb5d17d52049f896e973d44bb

Aliases

arxiv: 2506.05037 · arxiv_version: 2506.05037v1 · doi: 10.48550/arxiv.2506.05037 · pith_short_12: DSSSLO33SAUV · pith_short_16: DSSSLO33SAUVWU7O · pith_short_8: DSSSLO33

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/DSSSLO33SAUVWU7OY6QLCQFBTV \
  | 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: 1ca525bb7b90295b53eec7a0b140a19d4c79cbbfb5d17d52049f896e973d44bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43972495e01dd6368ff228c5f288cc7b956ca2d80a8920b294f0fac23d8c7cbf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-05T13:42:33Z",
    "title_canon_sha256": "3b0441ed8a651d62446f7c8f6435c415b5616b79393883e891c022835a118879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05037",
    "kind": "arxiv",
    "version": 1
  }
}