Pith Number

pith:VJA7LMMC

pith:2010:VJA7LMMCJWYIT7DAI477HLWIYY

not attested not anchored not stored refs pending

Braided spaces with dilations and sub-riemannian symmetric spaces

Marius Buliga

arxiv:1005.5031 v2 · 2010-05-27 · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJA7LMMCJWYIT7DAI477HLWIYY}

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	2026-05-17T23:53:58.332037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa41f5b1824db089fc60473ff3aec8c604103eedafa3c66ba5b70386e618e660

Aliases

arxiv: 1005.5031 · arxiv_version: 1005.5031v2 · doi: 10.48550/arxiv.1005.5031 · pith_short_12: VJA7LMMCJWYI · pith_short_16: VJA7LMMCJWYIT7DA · pith_short_8: VJA7LMMC

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/VJA7LMMCJWYIT7DAI477HLWIYY \
  | 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: aa41f5b1824db089fc60473ff3aec8c604103eedafa3c66ba5b70386e618e660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0adc88a1659e2eb628dba1231a4d361093b74639b6dd11e597b544d70a7b4feb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-27T11:14:36Z",
    "title_canon_sha256": "d4a91dc03547427998fa7b3a22968f80d1c66fa0596312c3c77759d8b1da0d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5031",
    "kind": "arxiv",
    "version": 2
  }
}