Pith Number

pith:TRKDJGHE

pith:2008:TRKDJGHE4GBNLOARNWTHPNU6GO

not attested not anchored not stored refs pending

Computing Gowdy spacetimes via spectral evolution in future and past directions

Christine Bernardi, Paulo Amorim, Philippe G. LeFloch

arxiv:0811.1266 v2 · 2008-11-08 · gr-qc · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRKDJGHE4GBNLOARNWTHPNU6GO}

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	2026-06-03T23:06:08.631263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c543498e4e182d5b8116da677b69e339c674673a7db4780ccb2888cd5aeb0bf

Aliases

arxiv: 0811.1266 · arxiv_version: 0811.1266v2 · doi: 10.48550/arxiv.0811.1266 · pith_short_12: TRKDJGHE4GBN · pith_short_16: TRKDJGHE4GBNLOAR · pith_short_8: TRKDJGHE

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/TRKDJGHE4GBNLOARNWTHPNU6GO \
  | 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: 9c543498e4e182d5b8116da677b69e339c674673a7db4780ccb2888cd5aeb0bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e766a63c384258541dec78ccd8e3d1103e1f08467753a3bab86d763926c77568",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-11-08T15:11:33Z",
    "title_canon_sha256": "9715fd8fe7c9e6d8b5c11662aaed513a74d62ce78be15584dc52126ca46a1a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1266",
    "kind": "arxiv",
    "version": 2
  }
}