Pith Number

pith:WBVLRTFJ

pith:2001:WBVLRTFJ4AIFBGPAWWEAK5I3G6

not attested not anchored not stored refs pending

Can one detect a non-smooth null infinity?

Juan A. Valiente-Kroon

arxiv:gr-qc/0108049 v1 · 2001-08-20 · 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{WBVLRTFJ4AIFBGPAWWEAK5I3G6}

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

Logarithmic matching between past infinity and future infinity: The massless scalar field

Receipt and verification

First computed	2026-07-04T16:26:56.904776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b06ab8cca9e0105099e0b58805751b379861e47a6075929a00a813edbdbdd615

Aliases

arxiv: gr-qc/0108049 · arxiv_version: gr-qc/0108049v1 · doi: 10.48550/arxiv.gr-qc/0108049 · pith_short_12: WBVLRTFJ4AIF · pith_short_16: WBVLRTFJ4AIFBGPA · pith_short_8: WBVLRTFJ

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/WBVLRTFJ4AIFBGPAWWEAK5I3G6 \
  | 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: b06ab8cca9e0105099e0b58805751b379861e47a6075929a00a813edbdbdd615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd61ecc6b8de9bf19caaec29f80ea44ce7c4aaa462dc27f13ab9c2034054270f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-08-20T07:20:04Z",
    "title_canon_sha256": "5be4ad79f8235df61ec3d3281e8c807e43597caff4d0069dab004bf95160e4ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0108049",
    "kind": "arxiv",
    "version": 1
  }
}