Pith Number

pith:32W4STGW

pith:2017:32W4STGWMXQKZX2MWL7MQCZTUM

not attested not anchored not stored refs pending

Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields

Tianyu Ma

arxiv:1705.00460 v2 · 2017-05-01 · 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{32W4STGWMXQKZX2MWL7MQCZTUM}

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	2026-05-17T23:59:25.307334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deadc94cd665e0acdf4cb2fec80b33a311fc4d49ee823cc127f92f30349b432d

Aliases

arxiv: 1705.00460 · arxiv_version: 1705.00460v2 · doi: 10.48550/arxiv.1705.00460 · pith_short_12: 32W4STGWMXQK · pith_short_16: 32W4STGWMXQKZX2M · pith_short_8: 32W4STGW

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/32W4STGWMXQKZX2MWL7MQCZTUM \
  | 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: deadc94cd665e0acdf4cb2fec80b33a311fc4d49ee823cc127f92f30349b432d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b037571e4c0da3495a9e2df08b625207914f8fb6e8f6511f5615066fe97218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-01T10:28:57Z",
    "title_canon_sha256": "283412bea1742c423a4eecf0706f37c6f3fe0e68f4471e40155b0c6b55f5efd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00460",
    "kind": "arxiv",
    "version": 2
  }
}