Pith Number

pith:EUX4W6VN

pith:2012:EUX4W6VNXMBPXV3ZYZMKOC4QPK

not attested not anchored not stored refs pending

Living with ghosts in Lorentz invariant theories

Alexander Vilenkin, Jaume Garriga

arxiv:1202.1239 v3 · 2012-02-06 · hep-th · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUX4W6VNXMBPXV3ZYZMKOC4QPK}

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	2026-05-18T01:58:33.347122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

252fcb7aadbb02fbd779c658a70b907ab37db2694c103d8273d063a783bb9dff

Aliases

arxiv: 1202.1239 · arxiv_version: 1202.1239v3 · doi: 10.48550/arxiv.1202.1239 · pith_short_12: EUX4W6VNXMBP · pith_short_16: EUX4W6VNXMBPXV3Z · pith_short_8: EUX4W6VN

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/EUX4W6VNXMBPXV3ZYZMKOC4QPK \
  | 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: 252fcb7aadbb02fbd779c658a70b907ab37db2694c103d8273d063a783bb9dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce6a0ee62c6126f39d57c89615176a34547117962a27ea9d332dcdef0954a1d0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-02-06T18:54:28Z",
    "title_canon_sha256": "6fbd5c6caa04691675ee90d6146ca1186c6580d04c220e367fcb1c55ce360815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1239",
    "kind": "arxiv",
    "version": 3
  }
}