Pith Number

pith:3VYEIN3R

pith:2008:3VYEIN3R2IBWRFGBUKUC4473AN

not attested not anchored not stored refs pending

Canny Algorithm, Cosmic Strings and the Cosmic Microwave Background

Rebecca J. Danos, Robert H. Brandenberger (McGill University)

arxiv:0811.2004 v4 · 2008-11-12 · astro-ph · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VYEIN3R2IBWRFGBUKUC4473AN}

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	2026-05-18T02:24:56.825130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd70443771d2036894c1a2a82e73fb0345472458d5130f923ca075290a6ea133

Aliases

arxiv: 0811.2004 · arxiv_version: 0811.2004v4 · doi: 10.48550/arxiv.0811.2004 · pith_short_12: 3VYEIN3R2IBW · pith_short_16: 3VYEIN3R2IBWRFGB · pith_short_8: 3VYEIN3R

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/3VYEIN3R2IBWRFGBUKUC4473AN \
  | 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: dd70443771d2036894c1a2a82e73fb0345472458d5130f923ca075290a6ea133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69fb28e371597fdc3c86aed74d9234f0ec2f265dfed8fee4b67a977759e514c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-11-12T22:25:17Z",
    "title_canon_sha256": "d9935610588c3de5d6d84a204d45fa890466a1db2ef3834d38b13a547a4fab3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2004",
    "kind": "arxiv",
    "version": 4
  }
}