Pith Number

pith:ON6WGLU2

pith:2015:ON6WGLU2WNNMSMIXHYIOWILMEV

not attested not anchored not stored refs pending

A note on the Lichnerowicz vanishing theorem for proper actions

Weiping Zhang

arxiv:1506.02968 v1 · 2015-06-09 · 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{ON6WGLU2WNNMSMIXHYIOWILMEV}

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	2026-05-18T01:55:40.396372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737d632e9ab35ac931173e10eb216c2559f21c8f1c70863432347f3e594b97ca

Aliases

arxiv: 1506.02968 · arxiv_version: 1506.02968v1 · doi: 10.48550/arxiv.1506.02968 · pith_short_12: ON6WGLU2WNNM · pith_short_16: ON6WGLU2WNNMSMIX · pith_short_8: ON6WGLU2

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/ON6WGLU2WNNMSMIXHYIOWILMEV \
  | 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: 737d632e9ab35ac931173e10eb216c2559f21c8f1c70863432347f3e594b97ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c77f5420f4ef58c2498044bba69889ce5da4587adfd2131e37201e84596b65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-09T15:48:39Z",
    "title_canon_sha256": "a4bb633ae263e8fc3a6365ad50d6c0419c934d8a5217467ea8cd4ccf16062f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02968",
    "kind": "arxiv",
    "version": 1
  }
}