Pith Number

pith:SHVP2D3Y

pith:2019:SHVP2D3YTET6X37S5AR6L4HS2Y

not attested not anchored not stored refs pending

Derivative Formulas in Measure on Riemannian Manifolds

Feng-Yu Wang, Panpan Ren

arxiv:1908.03711 v2 · 2019-08-10 · math.PR · 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{SHVP2D3YTET6X37S5AR6L4HS2Y}

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	2026-07-05T02:37:39.936412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91eafd0f789927ebeff2e823e5f0f2d61d47882f98e4ad84bd12bddcc5908637

Aliases

arxiv: 1908.03711 · arxiv_version: 1908.03711v2 · doi: 10.48550/arxiv.1908.03711 · pith_short_12: SHVP2D3YTET6 · pith_short_16: SHVP2D3YTET6X37S · pith_short_8: SHVP2D3Y

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/SHVP2D3YTET6X37S5AR6L4HS2Y \
  | 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: 91eafd0f789927ebeff2e823e5f0f2d61d47882f98e4ad84bd12bddcc5908637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cecebc5df358970521769e5fecf5b32da16633fbd35a68a67c604c567f39517",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-10T08:46:58Z",
    "title_canon_sha256": "1f77cfbe694f3e602a0c1bfd5308a0e756b6e06cb39dba20cf0633bfcaff1fce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03711",
    "kind": "arxiv",
    "version": 2
  }
}