Pith Number

pith:42Y745TL

pith:2019:42Y745TL5PZEHUGLUQST5SRZFZ

not attested not anchored not stored refs pending

A Safe Beginning for the Universe?

Jean-Luc Lehners, K.S. Stelle

arxiv:1909.01169 v2 · 2019-09-03 · hep-th · 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{42Y745TL5PZEHUGLUQST5SRZFZ}

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.

Cited by

1 paper in Pith

The Saddle Point of Everything

Receipt and verification

First computed	2026-07-05T00:17:13.207282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b1fe766bebf243d0cba4253eca392e5bc3b832cc215809234a7adf696c351e

Aliases

arxiv: 1909.01169 · arxiv_version: 1909.01169v2 · doi: 10.48550/arxiv.1909.01169 · pith_short_12: 42Y745TL5PZE · pith_short_16: 42Y745TL5PZEHUGL · pith_short_8: 42Y745TL

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/42Y745TL5PZEHUGLUQST5SRZFZ \
  | 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: e6b1fe766bebf243d0cba4253eca392e5bc3b832cc215809234a7adf696c351e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dd500dc350c9fda65f4fd5df524492275ef1c14e6d658a287d5e296d93ea0f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-09-03T13:34:23Z",
    "title_canon_sha256": "a428067d3a5e4e3aa6c46f402496f711b32d36938f2ce8f2b74bbad75d5742bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01169",
    "kind": "arxiv",
    "version": 2
  }
}