Pith Number

pith:Q6DNYXS7

pith:2016:Q6DNYXS77XVLWC3LGMFBVTQJPZ

not attested not anchored not stored refs pending

Global Dynamics, Blow-Up, and Bianchi Cosmology

Alan Rendall, Anna Karnauhova, Bernhard Brehm, Bernold Fiedler, Brian Smith, Hannes Stuke, Johannes Buchner, Juliette Hell, Martin V\"ath, Nitsan Ben-Gal, Stefan Liebscher

arxiv:1607.04600 v1 · 2016-07-15 · math.DS · 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{Q6DNYXS77XVLWC3LGMFBVTQJPZ}

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	2026-05-18T01:10:57.053349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8786dc5e5ffdeabb0b6b330a1ace097e492b62f402cf88972f2e817f06371eb7

Aliases

arxiv: 1607.04600 · arxiv_version: 1607.04600v1 · doi: 10.48550/arxiv.1607.04600 · pith_short_12: Q6DNYXS77XVL · pith_short_16: Q6DNYXS77XVLWC3L · pith_short_8: Q6DNYXS7

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/Q6DNYXS77XVLWC3LGMFBVTQJPZ \
  | 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: 8786dc5e5ffdeabb0b6b330a1ace097e492b62f402cf88972f2e817f06371eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27dda5db26b7dcac74a153b5b051125f2c4aa03cfe1741fed8100aa43b32916f",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-15T18:07:42Z",
    "title_canon_sha256": "23a3bb0120f60d51aedeb87ec4c09964cccafd92f8cf8d0914b47fa3829a6759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04600",
    "kind": "arxiv",
    "version": 1
  }
}