Pith Number

pith:PNFVXTZD

pith:2015:PNFVXTZDVOO22N5F24B3NSXMZ2

not attested not anchored not stored refs pending

A note on starshaped compact hypersurfaces with a prescribed scalar curvature in space forms

Joel Spruck, Ling Xiao

arxiv:1505.01578 v1 · 2015-05-07 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNFVXTZDVOO22N5F24B3NSXMZ2}

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	2026-05-18T02:16:48.412042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4b5bcf23ab9dad37a5d703b6caecce83d6505c4ce40c756ab006568fabb9ab

Aliases

arxiv: 1505.01578 · arxiv_version: 1505.01578v1 · doi: 10.48550/arxiv.1505.01578 · pith_short_12: PNFVXTZDVOO2 · pith_short_16: PNFVXTZDVOO22N5F · pith_short_8: PNFVXTZD

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/PNFVXTZDVOO22N5F24B3NSXMZ2 \
  | 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: 7b4b5bcf23ab9dad37a5d703b6caecce83d6505c4ce40c756ab006568fabb9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757f3dc57021f9b0ef12d28aee0e3b2e155bb01931b40def25cf24f161b73997",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-07T04:13:03Z",
    "title_canon_sha256": "3446102886074da640df9d113efda0dd7693813b1837b91cebc3c7c391766fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01578",
    "kind": "arxiv",
    "version": 1
  }
}