Pith Number

pith:5L37A5WA

pith:2019:5L37A5WABEQD7OZ5VEL3AC4EJR

not attested not anchored not stored refs pending

Geodesic completeness and the quasi-Einstein equation for locally homogeneous affine surfaces

Peter B. Gilkey, Xabier Valle-Regueiro

arxiv:1908.04148 v1 · 2019-08-12 · 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{5L37A5WABEQD7OZ5VEL3AC4EJR}

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	2026-07-04T23:53:21.100391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf7f076c009203fbb3da917b00b844c637e6d2cecacc6081d2fe93cc85ed823

Aliases

arxiv: 1908.04148 · arxiv_version: 1908.04148v1 · doi: 10.48550/arxiv.1908.04148 · pith_short_12: 5L37A5WABEQD · pith_short_16: 5L37A5WABEQD7OZ5 · pith_short_8: 5L37A5WA

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/5L37A5WABEQD7OZ5VEL3AC4EJR \
  | 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: eaf7f076c009203fbb3da917b00b844c637e6d2cecacc6081d2fe93cc85ed823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b863d2de053d09ce9a5151afc5f8f536b40892a395c1f5d404f62acef4004d56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-12T13:48:45Z",
    "title_canon_sha256": "fd7a9f0a9d35ee7444f3d0da240e1544ec27c35adfcf104acc890a4c9368f073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04148",
    "kind": "arxiv",
    "version": 1
  }
}