Pith Number

pith:TDBFKB2S

pith:2016:TDBFKB2SCC2YQYBFUR2CGORONZ

not attested not anchored not stored refs pending

Quantitative stratification of $F$-subharmonic functions

Jianchun Chu

arxiv:1610.09946 v2 · 2016-10-31 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDBFKB2SCC2YQYBFUR2CGORONZ}

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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.

Receipt and verification

First computed	2026-05-18T00:49:31.898516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c255075210b5886025a474233a2e6e66a36f7524b1748f1188b5577a71193d

Aliases

arxiv: 1610.09946 · arxiv_version: 1610.09946v2 · doi: 10.48550/arxiv.1610.09946 · pith_short_12: TDBFKB2SCC2Y · pith_short_16: TDBFKB2SCC2YQYBF · pith_short_8: TDBFKB2S

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/TDBFKB2SCC2YQYBFUR2CGORONZ \
  | 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: 98c255075210b5886025a474233a2e6e66a36f7524b1748f1188b5577a71193d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22561a7c3d3235d74bea861f8582c58e1cad90f06791ac4fc13b0ebe937b9f6a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-31T14:45:02Z",
    "title_canon_sha256": "2ead1df8b8adcdebd49263d61a5b861f68e7d49bcdf48b9ed4f20497eed00485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09946",
    "kind": "arxiv",
    "version": 2
  }
}