Pith Number

pith:FF4GKC24

pith:2012:FF4GKC24EQVKWOMKQAQ6BQ7IJU

not attested not anchored not stored refs pending

Isometries of complemented subRiemannian manifolds

Robert K. Hladky

arxiv:1203.1066 v2 · 2012-03-05 · 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{FF4GKC24EQVKWOMKQAQ6BQ7IJU}

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	2026-05-18T03:36:36.965143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2978650b5c242aab398a8021e0c3e84d1e790eb4e8461ccd7ccfd6d65a4db13c

Aliases

arxiv: 1203.1066 · arxiv_version: 1203.1066v2 · doi: 10.48550/arxiv.1203.1066 · pith_short_12: FF4GKC24EQVK · pith_short_16: FF4GKC24EQVKWOMK · pith_short_8: FF4GKC24

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/FF4GKC24EQVKWOMKQAQ6BQ7IJU \
  | 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: 2978650b5c242aab398a8021e0c3e84d1e790eb4e8461ccd7ccfd6d65a4db13c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53fc325a763f1c8435cd2ca52b3c18fa64847b1b5b49262a4575a0e989b41121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-05T22:11:25Z",
    "title_canon_sha256": "ec6c5e98a75860e6a26edcbaf98aef62859d26f793995811134e12fce673cc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1066",
    "kind": "arxiv",
    "version": 2
  }
}