pith. sign in
Pith Number

pith:23JA5EXP

pith:2010:23JA5EXPRC73A3XJUADNB32MRH
not attested not anchored not stored refs pending

Shape of Cosmic String Loops

Craig J Copi, Tanmay Vachaspati

arxiv:1010.4030 v2 · 2010-10-19 · hep-th · astro-ph.CO · cond-mat.str-el · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{23JA5EXPRC73A3XJUADNB32MRH}

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 2026-05-18T02:23:45.266124Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d6d20e92ef88bfb06ee9a006d0ef4c89ea18a76982d976dc3ffd77fbc09b1256

Aliases

arxiv: 1010.4030 · arxiv_version: 1010.4030v2 · doi: 10.48550/arxiv.1010.4030 · pith_short_12: 23JA5EXPRC73 · pith_short_16: 23JA5EXPRC73A3XJ · pith_short_8: 23JA5EXP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/23JA5EXPRC73A3XJUADNB32MRH \
  | 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: d6d20e92ef88bfb06ee9a006d0ef4c89ea18a76982d976dc3ffd77fbc09b1256
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7d2d8e208c3a18dfda4519666a0c83ffbdd66058e0894d5bf24da7661e4c5906",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cond-mat.str-el",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-19T20:00:19Z",
    "title_canon_sha256": "6640e7c1e55b94e3e8b30df41ef0a1e8cbcf4d7f7d1feec8904ca8e4c3a270d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4030",
    "kind": "arxiv",
    "version": 2
  }
}