Pith Number

pith:V4NIW5QE

pith:2013:V4NIW5QEGLAQ2HGRCQKXIZMSXX

not attested not anchored not stored refs pending

A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows

Yuanzhen Shao

arxiv:1309.2043 v2 · 2013-09-09 · 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{V4NIW5QEGLAQ2HGRCQKXIZMSXX}

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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	2026-05-18T01:03:44.743738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1a8b760432c10d1cd11415746592bdee467c7e2a3091c0fc06130b25c964e1

Aliases

arxiv: 1309.2043 · arxiv_version: 1309.2043v2 · doi: 10.48550/arxiv.1309.2043 · pith_short_12: V4NIW5QEGLAQ · pith_short_16: V4NIW5QEGLAQ2HGR · pith_short_8: V4NIW5QE

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/V4NIW5QEGLAQ2HGRCQKXIZMSXX \
  | 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: af1a8b760432c10d1cd11415746592bdee467c7e2a3091c0fc06130b25c964e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90ceda5106109ba61d15c18668b0e69634156288432304cbca58609e3a3f3ab",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-09T04:30:35Z",
    "title_canon_sha256": "9181efa79312bdcc96aadcecd96d928b9f8b287c3158efc7b7d8927f4381b692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2043",
    "kind": "arxiv",
    "version": 2
  }
}