Pith Number

pith:Q6JEDVZU

pith:2002:Q6JEDVZUU5QFLQN7QVXD64XBNZ

not attested not anchored not stored refs pending

Fully nonlinear equations on Riemannian manifolds with negative curvature

Jeff Viaclovsky, Matthew Gursky

arxiv:math/0210303 v2 · 2002-10-18 · 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{Q6JEDVZUU5QFLQN7QVXD64XBNZ}

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	2026-05-18T01:05:29.295135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

879241d734a76055c1bf856e3f72e16e4fe06c81fea1c83dac4eb83b9457d7de

Aliases

arxiv: math/0210303 · arxiv_version: math/0210303v2 · doi: 10.48550/arxiv.math/0210303 · pith_short_12: Q6JEDVZUU5QF · pith_short_16: Q6JEDVZUU5QFLQN7 · pith_short_8: Q6JEDVZU

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/Q6JEDVZUU5QFLQN7QVXD64XBNZ \
  | 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: 879241d734a76055c1bf856e3f72e16e4fe06c81fea1c83dac4eb83b9457d7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75cf1cb10255c5541f285da8ef63788557443e4bb30bccf9699b135a01b0fb37",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-10-18T21:59:09Z",
    "title_canon_sha256": "c66ccf136795548982b2bde4c061a144d6cbd28ded8abc6c3819d55dcd889dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210303",
    "kind": "arxiv",
    "version": 2
  }
}