Pith Number

pith:6MBHP25L

pith:2015:6MBHP25LUP5A4TCCXCTEVMGWV4

not attested not anchored not stored refs pending

$\mathsf S^1$-actions on $4$-manifolds and fixed point homogeneous manifolds of nonnegative curvature

Wolfgang Spindeler

arxiv:1510.01548 v1 · 2015-10-06 · 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{6MBHP25LUP5A4TCCXCTEVMGWV4}

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	2026-05-18T01:30:56.653820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30277ebaba3fa0e4c42b8a64ab0d6af3529154e510eb1facb8c8de9cfe3c48a

Aliases

arxiv: 1510.01548 · arxiv_version: 1510.01548v1 · doi: 10.48550/arxiv.1510.01548 · pith_short_12: 6MBHP25LUP5A · pith_short_16: 6MBHP25LUP5A4TCC · pith_short_8: 6MBHP25L

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/6MBHP25LUP5A4TCCXCTEVMGWV4 \
  | 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: f30277ebaba3fa0e4c42b8a64ab0d6af3529154e510eb1facb8c8de9cfe3c48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4235adf3fc6b3e8110d7a9085fdeeda5b037aad0995569601b60c4fdc17e95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-06T12:29:32Z",
    "title_canon_sha256": "294eb4fc8c310c88f155dbce0c091a16f792509cbbc9915c13eb50322e00d32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01548",
    "kind": "arxiv",
    "version": 1
  }
}