Pith Number

pith:4KGBGV7N

pith:2012:4KGBGV7NOFYYCQTCJYF2DM7ATX

not attested not anchored not stored refs pending

Holonomy Groups in Riemannian Geometry

Andrew Clarke, Bianca Santoro

arxiv:1206.3170 v1 · 2012-06-14 · 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{4KGBGV7NOFYYCQTCJYF2DM7ATX}

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	2026-05-18T03:53:32.400078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28c1357ed71718142624e0ba1b3e09de9498c295581f26f175d96355cf0da78

Aliases

arxiv: 1206.3170 · arxiv_version: 1206.3170v1 · doi: 10.48550/arxiv.1206.3170 · pith_short_12: 4KGBGV7NOFYY · pith_short_16: 4KGBGV7NOFYYCQTC · pith_short_8: 4KGBGV7N

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/4KGBGV7NOFYYCQTCJYF2DM7ATX \
  | 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: e28c1357ed71718142624e0ba1b3e09de9498c295581f26f175d96355cf0da78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd599fe1c59fd85a6d3a40a69f6916f50cbee6a915f18e12380a29a2f28b8c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-14T16:31:32Z",
    "title_canon_sha256": "d6a9f6e04ed2671e788fc2627d1e20b46ef561a05771e87328e12488ce642a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3170",
    "kind": "arxiv",
    "version": 1
  }
}