Pith Number

pith:QQ4DK3HM

pith:2010:QQ4DK3HMAXZCSOWIQNEIUDE6W3

not attested not anchored not stored refs pending

Mathematical general relativity: a sampler

Daniel Pollack, Gregory J. Galloway, Piotr T. Chru\'sciel

arxiv:1004.1016 v2 · 2010-04-07 · gr-qc · math.AP · 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{QQ4DK3HMAXZCSOWIQNEIUDE6W3}

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	2026-05-18T02:24:17.144774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8438356cec05f2293ac883488a0c9eb6d0366dfcf03a39bf998be1ad397a859b

Aliases

arxiv: 1004.1016 · arxiv_version: 1004.1016v2 · doi: 10.48550/arxiv.1004.1016 · pith_short_12: QQ4DK3HMAXZC · pith_short_16: QQ4DK3HMAXZCSOWI · pith_short_8: QQ4DK3HM

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/QQ4DK3HMAXZCSOWIQNEIUDE6W3 \
  | 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: 8438356cec05f2293ac883488a0c9eb6d0366dfcf03a39bf998be1ad397a859b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9027ab94e6d10d6c641f83a01a8e364f584f674bdf1e5c3a195d5dde7092b7c2",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-04-07T07:01:21Z",
    "title_canon_sha256": "db1c4287aa3156c66d9fbb3e2e6b5caef5c70f8e2851b61ceb98089af65894b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1016",
    "kind": "arxiv",
    "version": 2
  }
}