Pith Number

pith:TDTII6N3

pith:2023:TDTII6N3PDFTZNELVDWBNAEHKP

not attested not anchored not stored refs pending

Asymptotically mean value harmonic functions in sub-Riemannian and RCD settings

Antoni Kijowski, Elefterios Soultanis, Tomasz Adamowicz

arxiv:2301.06513 v1 · 2023-01-16 · math.DG · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDTII6N3PDFTZNELVDWBNAEHKP}

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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

DOLLAR: Few-Step Video Generation via Distillation and Latent Reward Optimization

Receipt and verification

First computed	2026-07-05T05:33:32.618567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e68479bb78cb3cb48ba8ec16808753c85e60a115fdbca9783cfe4cf775686a

Aliases

arxiv: 2301.06513 · arxiv_version: 2301.06513v1 · doi: 10.48550/arxiv.2301.06513 · pith_short_12: TDTII6N3PDFT · pith_short_16: TDTII6N3PDFTZNEL · pith_short_8: TDTII6N3

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/TDTII6N3PDFTZNELVDWBNAEHKP \
  | 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: 98e68479bb78cb3cb48ba8ec16808753c85e60a115fdbca9783cfe4cf775686a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d435998200c7c143b56ccb9bf64fc6523e765c8b6c1e357eb5689f7a0a54aa1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-01-16T16:46:54Z",
    "title_canon_sha256": "e903304ac71497f415337229043ef25fda48c9f1228ef6fcbde2b761ebde4809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.06513",
    "kind": "arxiv",
    "version": 1
  }
}