Pith Number

pith:4LW7LSST

pith:2005:4LW7LSSTMDZK3VACIYD3PGTXDW

not attested not anchored not stored refs pending

Cosmic string scaling in flat space

Alexander Vilenkin, Ken Olum, Vitaly Vanchurin

arxiv:gr-qc/0501040 v3 · 2005-01-12 · 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{4LW7LSSTMDZK3VACIYD3PGTXDW}

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	2026-05-18T03:24:30.627672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2edf5ca5360f2add4024607b79a771dbd8a6689288825904a607d4004ab1307

Aliases

arxiv: gr-qc/0501040 · arxiv_version: gr-qc/0501040v3 · doi: 10.48550/arxiv.gr-qc/0501040 · pith_short_12: 4LW7LSSTMDZK · pith_short_16: 4LW7LSSTMDZK3VAC · pith_short_8: 4LW7LSST

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/4LW7LSSTMDZK3VACIYD3PGTXDW \
  | 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: e2edf5ca5360f2add4024607b79a771dbd8a6689288825904a607d4004ab1307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61506b8d25b0796167386380dff808bf680d801fc6f92fa47d942cc0e22d5345",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-01-12T18:01:36Z",
    "title_canon_sha256": "97ade15609b38ea00cf4c5343134e3167b702f2a1555d267c81a1024d4eef728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0501040",
    "kind": "arxiv",
    "version": 3
  }
}