Pith Number

pith:545NJNLV

pith:2017:545NJNLVDQTUQHC4PHMZPWR27P

not attested not anchored not stored refs pending

Classical transitions with the topological number changing in the early Universe

Alexander A. Kirillov, Sergey G. Rubin, Vakhid A. Gani

arxiv:1704.03688 v3 · 2017-04-12 · 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{545NJNLVDQTUQHC4PHMZPWR27P}

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	2026-05-18T00:18:26.866618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3ad4b5751c27481c5c79d997da3afbfb6226433e14a2e3a41b1fb8e559eb00

Aliases

arxiv: 1704.03688 · arxiv_version: 1704.03688v3 · doi: 10.48550/arxiv.1704.03688 · pith_short_12: 545NJNLVDQTU · pith_short_16: 545NJNLVDQTUQHC4 · pith_short_8: 545NJNLV

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/545NJNLVDQTUQHC4PHMZPWR27P \
  | 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: ef3ad4b5751c27481c5c79d997da3afbfb6226433e14a2e3a41b1fb8e559eb00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a005a0607ae23d9898bc3e3b4edc684f94bbef67283c81b7cd56c9baedf7ae5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-04-12T10:23:32Z",
    "title_canon_sha256": "066b9f072243a59daa925f9e09eac20ddcbc1064371f388f5cd79659dc387a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03688",
    "kind": "arxiv",
    "version": 3
  }
}