Pith Number

pith:PTEMJRJC

pith:2019:PTEMJRJCPTNYNVQWVDJG7S7DPH

not attested not anchored not stored refs pending

Spaces of locally homogeneous affine surfaces

Eduardo Garc\'ia-R\'io, Miguel Brozos-V\'azquez, Peter Gilkey

arxiv:1903.11841 v1 · 2019-03-28 · 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{PTEMJRJCPTNYNVQWVDJG7S7DPH}

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	2026-05-17T23:49:58.961945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc8c4c5227cdb86d616a8d26fcbe379e96be1c0ecde8b5db80a5d03851227d8

Aliases

arxiv: 1903.11841 · arxiv_version: 1903.11841v1 · doi: 10.48550/arxiv.1903.11841 · pith_short_12: PTEMJRJCPTNY · pith_short_16: PTEMJRJCPTNYNVQW · pith_short_8: PTEMJRJC

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/PTEMJRJCPTNYNVQWVDJG7S7DPH \
  | 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: 7cc8c4c5227cdb86d616a8d26fcbe379e96be1c0ecde8b5db80a5d03851227d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4069cd017c87e80777b70a92440ed3f391a38511073a95cf4e7ffb2209d2ba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-28T08:55:04Z",
    "title_canon_sha256": "e54ca20cfd87b301bfde9bc7e128e4886d58e9efc0a0534d38aad34046b18ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11841",
    "kind": "arxiv",
    "version": 1
  }
}