Pith Number

pith:QQT3WRIM

pith:2025:QQT3WRIMSEDUNGPT4DA43KS7FN

not attested not anchored not stored refs pending

On singularity of $p$-energy measures on metric measure spaces

Meng Yang

arxiv:2505.12468 v2 · 2025-05-18 · math.FA · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQT3WRIMSEDUNGPT4DA43KS7FN}

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	2026-06-08T01:05:00.832030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8427bb450c91074699f3e0c1cdaa5f2b72937db976544f2dfc39170c0eaba519

Aliases

arxiv: 2505.12468 · arxiv_version: 2505.12468v2 · doi: 10.48550/arxiv.2505.12468 · pith_short_12: QQT3WRIMSEDU · pith_short_16: QQT3WRIMSEDUNGPT · pith_short_8: QQT3WRIM

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/QQT3WRIMSEDUNGPT4DA43KS7FN \
  | 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: 8427bb450c91074699f3e0c1cdaa5f2b72937db976544f2dfc39170c0eaba519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccab315b12440257444b1ae5b5bc81031747fc7e64a0f588ddaebf00f560ad7c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-18T15:46:23Z",
    "title_canon_sha256": "1d549aa8b1d5222ae55551b0e1f09f13cc7657264db8ac98bcc766796e203ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12468",
    "kind": "arxiv",
    "version": 2
  }
}