Pith Number

pith:CWYTIAKS

pith:2025:CWYTIAKSBTW3P5SPKBUB7DLBIE

not attested not anchored not stored refs pending

Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds

Fusheng Deng, Gang Huang, Xiangsen Qin

arxiv:2501.05697 v1 · 2025-01-10 · math.AP · math.CV · math.DG

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\usepackage{pith}
\pithnumber{CWYTIAKSBTW3P5SPKBUB7DLBIE}

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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.

Cited by

1 paper in Pith

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds

Receipt and verification

First computed	2026-07-05T09:59:27.326303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b13401520cedb7f64f50681f8d61410f8c0b720972e45664df08e0429918e4

Aliases

arxiv: 2501.05697 · arxiv_version: 2501.05697v1 · doi: 10.48550/arxiv.2501.05697 · pith_short_12: CWYTIAKSBTW3 · pith_short_16: CWYTIAKSBTW3P5SP · pith_short_8: CWYTIAKS

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/CWYTIAKSBTW3P5SPKBUB7DLBIE \
  | 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: 15b13401520cedb7f64f50681f8d61410f8c0b720972e45664df08e0429918e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5518cdcfff43e71e3164bcfa2697c145c99aea4d569ab13c263a4caecafa3dab",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-10T04:03:35Z",
    "title_canon_sha256": "5c82381dbc97d7b6d9ed7c27d8d0f6b5269edfebc3a034d2b414ea77ab64a802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05697",
    "kind": "arxiv",
    "version": 1
  }
}