Pith Number

pith:UV24VSM2

pith:2016:UV24VSM2NPYAWW7PNUVHFQ343Y

not attested not anchored not stored refs pending

Proper Lie groupoids are real analytic

David Mart\'inez Torres

arxiv:1612.09012 v3 · 2016-12-29 · 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{UV24VSM2NPYAWW7PNUVHFQ343Y}

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	2026-05-18T00:39:37.385551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a575cac99a6bf00b5bef6d2a72c37cde13429a64c38bdacc9893d0315fdfc35e

Aliases

arxiv: 1612.09012 · arxiv_version: 1612.09012v3 · doi: 10.48550/arxiv.1612.09012 · pith_short_12: UV24VSM2NPYA · pith_short_16: UV24VSM2NPYAWW7P · pith_short_8: UV24VSM2

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/UV24VSM2NPYAWW7PNUVHFQ343Y \
  | 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: a575cac99a6bf00b5bef6d2a72c37cde13429a64c38bdacc9893d0315fdfc35e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff3bef41968ef782fb31f2326e7bc094cc6b817e5256c42fcc8156aedc99b3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-29T00:01:37Z",
    "title_canon_sha256": "43e7f8952e543781a4fa4fd606493b82861144f57777fdfd1673556af556856b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09012",
    "kind": "arxiv",
    "version": 3
  }
}