Pith Number

pith:RN2PVIXN

pith:2016:RN2PVIXNLYW3BKCZ7I5UG4EDCI

not attested not anchored not stored refs pending

A Divergence Theorem for non-Compact Riemannian Manifolds: a Dynamical Approach

Enrique Pujals, \'Italo Melo

arxiv:1612.08189 v1 · 2016-12-24 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RN2PVIXNLYW3BKCZ7I5UG4EDCI}

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	2026-05-18T00:54:04.304545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b74faa2ed5e2db0a859fa3b437083123f915fa98913a1f93dc5a4aa79979805

Aliases

arxiv: 1612.08189 · arxiv_version: 1612.08189v1 · doi: 10.48550/arxiv.1612.08189 · pith_short_12: RN2PVIXNLYW3 · pith_short_16: RN2PVIXNLYW3BKCZ · pith_short_8: RN2PVIXN

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/RN2PVIXNLYW3BKCZ7I5UG4EDCI \
  | 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: 8b74faa2ed5e2db0a859fa3b437083123f915fa98913a1f93dc5a4aa79979805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb151f6713a8aecce681849e3bd3e5201e14b1a03eca77ade581b87ef148c9d7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-24T14:47:33Z",
    "title_canon_sha256": "0c453e29483c41788511e166a14f0c0469b21c966d02cf0c676577a97b4dbd25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08189",
    "kind": "arxiv",
    "version": 1
  }
}