Pith Number

pith:JC5DKUP3

pith:2010:JC5DKUP36BKBWF3CEHSUF4MRAZ

not attested not anchored not stored refs pending

Smooth metric measure spaces and quasi-Einstein metrics

Jeffrey S. Case

arxiv:1011.2723 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{JC5DKUP36BKBWF3CEHSUF4MRAZ}

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	2026-05-18T03:56:34.190511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ba3551fbf0541b176221e542f191067233d0df17462714c7cce87d71a396ce

Aliases

arxiv: 1011.2723 · arxiv_version: 1011.2723v3 · doi: 10.48550/arxiv.1011.2723 · pith_short_12: JC5DKUP36BKB · pith_short_16: JC5DKUP36BKBWF3C · pith_short_8: JC5DKUP3

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/JC5DKUP36BKBWF3CEHSUF4MRAZ \
  | 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: 48ba3551fbf0541b176221e542f191067233d0df17462714c7cce87d71a396ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c022358595d2ee9f5aef8d2239af69e87a009034ce0dd1afd7ada47f61bb3014",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-11T18:04:06Z",
    "title_canon_sha256": "038c9dbfb32be6a7f010702ed4602d1337ff74a7454fd38126cd5134ff06c76d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2723",
    "kind": "arxiv",
    "version": 3
  }
}