Pith Number

pith:6NZKSP6Q

pith:2003:6NZKSP6QZHRWYOAYD5CV24GTHH

not attested not anchored not stored refs pending

Boundary value problems for Dirac--type equations, with applications

P.T. Chrusciel, R. Bartnik

arxiv:math/0307278 v1 · 2003-07-21 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NZKSP6QZHRWYOAYD5CV24GTHH}

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.

Cited by

1 paper in Pith

On the third law of black hole mechanics for supersymmetric black holes

Receipt and verification

First computed	2026-07-04T14:37:36.796574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f372a93fd0c9e36c38181f455d70d339ef77eb3b874adf805351816db4bc1466

Aliases

arxiv: math/0307278 · arxiv_version: math/0307278v1 · doi: 10.48550/arxiv.math/0307278 · pith_short_12: 6NZKSP6QZHRW · pith_short_16: 6NZKSP6QZHRWYOAY · pith_short_8: 6NZKSP6Q

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/6NZKSP6QZHRWYOAYD5CV24GTHH \
  | 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: f372a93fd0c9e36c38181f455d70d339ef77eb3b874adf805351816db4bc1466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32152f9c775bdef233178e597f9a0debd08960ca6ea53624d8f92f89a699cfd0",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-07-21T13:12:10Z",
    "title_canon_sha256": "a7877a1261475aca121b2bf86023e94f82c89d93f3fe3899b4f08cae846cfcfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307278",
    "kind": "arxiv",
    "version": 1
  }
}