Pith Number

pith:AYS63I4X

pith:2026:AYS63I4XA3BJHBILGXRETO7ZY3

not attested not anchored not stored refs pending

Curvature bounds, regularity and inextendibility of spacetimes

Clemens S\"amann, John Harvey, Tobias Beran

arxiv:2603.20802 v2 · 2026-03-21 · gr-qc · math-ph · math.DG · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYS63I4XA3BJHBILGXRETO7ZY3}

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	2026-06-29T00:14:02.820288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0625eda39706c293850b35e249bbf9c6d5323750fd939e69a47ee50f0b3c7c17

Aliases

arxiv: 2603.20802 · arxiv_version: 2603.20802v2 · doi: 10.48550/arxiv.2603.20802 · pith_short_12: AYS63I4XA3BJ · pith_short_16: AYS63I4XA3BJHBIL · pith_short_8: AYS63I4X

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/AYS63I4XA3BJHBILGXRETO7ZY3 \
  | 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: 0625eda39706c293850b35e249bbf9c6d5323750fd939e69a47ee50f0b3c7c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4401b32d1393dc243ac73e44f07c98b49bc0efda50317625186d6895d3fae5",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-21T12:54:21Z",
    "title_canon_sha256": "98c73cd7014a98b78b69b4f4ff698ef6f6807ea7ee40e7ed56081c7b71ca1c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.20802",
    "kind": "arxiv",
    "version": 2
  }
}