Pith Number

pith:MM72U3WU

pith:2017:MM72U3WUX5ILSXXGXJYE4JF3KA

not attested not anchored not stored refs pending

No smooth beginning for spacetime

Jean-Luc Lehners, Job Feldbrugge, Neil Turok

arxiv:1705.00192 v2 · 2017-04-29 · 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{MM72U3WUX5ILSXXGXJYE4JF3KA}

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

2 papers in Pith

Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW

How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral

Receipt and verification

First computed	2026-05-18T00:31:41.202526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633faa6ed4bf50b95ee6ba704e24bb503202adb82fa9782706881e718e6646fd

Aliases

arxiv: 1705.00192 · arxiv_version: 1705.00192v2 · doi: 10.48550/arxiv.1705.00192 · pith_short_12: MM72U3WUX5IL · pith_short_16: MM72U3WUX5ILSXXG · pith_short_8: MM72U3WU

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/MM72U3WUX5ILSXXGXJYE4JF3KA \
  | 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: 633faa6ed4bf50b95ee6ba704e24bb503202adb82fa9782706881e718e6646fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997c01e8d9e392664488fa0ba4590fae0716ce2e3c64f64ee7f0123cc2797559",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-04-29T13:29:08Z",
    "title_canon_sha256": "8f88f484e19f07858fc0e0fb4adb7f11b05c335f706971f824331e8fd7a7e064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00192",
    "kind": "arxiv",
    "version": 2
  }
}