Pith Number

pith:4XRXFQM3

pith:2003:4XRXFQM356CYXMCEQBTKOJUQZM

not attested not anchored not stored refs pending

A fully nonlinear equation on 4-manifolds with positive scalar curvature

Jeff Viaclovsky, Matthew Gursky

arxiv:math/0301350 v3 · 2003-01-30 · 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{4XRXFQM356CYXMCEQBTKOJUQZM}

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	2026-07-04T15:48:29.240298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e372c19bef858bb0448066a72690cb27a210c4f9e5f39eb2a493ad3fcf9bd6

Aliases

arxiv: math/0301350 · arxiv_version: math/0301350v3 · doi: 10.48550/arxiv.math/0301350 · pith_short_12: 4XRXFQM356CY · pith_short_16: 4XRXFQM356CYXMCE · pith_short_8: 4XRXFQM3

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/4XRXFQM356CYXMCEQBTKOJUQZM \
  | 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: e5e372c19bef858bb0448066a72690cb27a210c4f9e5f39eb2a493ad3fcf9bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be018403cf6b4522443a60e782011f6d43251dbd96dde3189963123aad4ad57",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-01-30T04:01:32Z",
    "title_canon_sha256": "2ef197979ece465318f09cc0dd737c97a4c6089a2df0e845890d8a72357d9711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301350",
    "kind": "arxiv",
    "version": 3
  }
}