Pith Number

pith:EOUTCAOM

pith:2010:EOUTCAOM3YJYF2TZF6RJU3HDUP

not attested not anchored not stored refs pending

The energy of a smooth metric measure space and applications

Jeffrey S. Case

arxiv:1011.2728 v3 · 2010-11-11 · 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{EOUTCAOM3YJYF2TZF6RJU3HDUP}

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	2026-05-18T03:56:34.181982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a93101ccde1382ea792fa29a6ce3a3d20d81df94ddd341196cc84472c45b23

Aliases

arxiv: 1011.2728 · arxiv_version: 1011.2728v3 · doi: 10.48550/arxiv.1011.2728 · pith_short_12: EOUTCAOM3YJY · pith_short_16: EOUTCAOM3YJYF2TZ · pith_short_8: EOUTCAOM

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/EOUTCAOM3YJYF2TZF6RJU3HDUP \
  | 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: 23a93101ccde1382ea792fa29a6ce3a3d20d81df94ddd341196cc84472c45b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b264d76f63058c18b28b8671193752c2db3e2d2be8b638ef8c51d987e7d7234e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-11T18:10:16Z",
    "title_canon_sha256": "2535c7e8db406b9cb54b59ee6922fcbfcddc02e1d78e225da4afcc1378827ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2728",
    "kind": "arxiv",
    "version": 3
  }
}