Pith Number

pith:WKG3SDT3

pith:2012:WKG3SDT3Q77H2KTQURFSULV3Z4

not attested not anchored not stored refs pending

The 21 cm Signature of Shock Heated and Diffuse Cosmic String Wakes

Marianopolis College), Oscar F. Hernandez, Robert H. Brandenberger (McGill University

arxiv:1203.2307 v3 · 2012-03-11 · astro-ph.CO · 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{WKG3SDT3Q77H2KTQURFSULV3Z4}

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	2026-05-18T01:58:10.260518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28db90e7b87fe7d2a70a44b2a2ebbcf1c6929f831abeb1e867df9d21d6acadc

Aliases

arxiv: 1203.2307 · arxiv_version: 1203.2307v3 · doi: 10.48550/arxiv.1203.2307 · pith_short_12: WKG3SDT3Q77H · pith_short_16: WKG3SDT3Q77H2KTQ · pith_short_8: WKG3SDT3

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/WKG3SDT3Q77H2KTQURFSULV3Z4 \
  | 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: b28db90e7b87fe7d2a70a44b2a2ebbcf1c6929f831abeb1e867df9d21d6acadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0849c4e1733505501448462548bf36b3383b60078c66b5f6643578bad8494ee6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-11T03:26:45Z",
    "title_canon_sha256": "f23117e1bfbc6083c8af5ee5cafddf127cb39725a227704fcd5ac47019b15ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2307",
    "kind": "arxiv",
    "version": 3
  }
}