Pith Number

pith:DYSDZ27L

pith:2012:DYSDZ27LV5QCESVI4V364FES7S

not attested not anchored not stored refs pending

Constraints on the Topology of the Universe: Extension to General Geometries

David N. Spergel, Glenn D. Starkman, Neil J. Cornish, Pascal M. Vaudrevange

arxiv:1206.2939 v1 · 2012-06-13 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYSDZ27LV5QCESVI4V364FES7S}

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	2026-05-18T03:22:40.217403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e243cebebaf60224aa8e577ee1492fcbe87a5e9863021b900316bc832fb2479

Aliases

arxiv: 1206.2939 · arxiv_version: 1206.2939v1 · doi: 10.48550/arxiv.1206.2939 · pith_short_12: DYSDZ27LV5QC · pith_short_16: DYSDZ27LV5QCESVI · pith_short_8: DYSDZ27L

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/DYSDZ27LV5QCESVI4V364FES7S \
  | 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: 1e243cebebaf60224aa8e577ee1492fcbe87a5e9863021b900316bc832fb2479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97186df86bfffb8000de38ee498d212f76e8c2063c43ebbf7f355e5b73c751f1",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-13T20:45:16Z",
    "title_canon_sha256": "864f94673c76e2c08066998e3f550a5710a8ae0e792f0341159e9d0da0f18248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2939",
    "kind": "arxiv",
    "version": 1
  }
}