Pith Number

pith:N32T23XT

pith:2026:N32T23XTME6RFEA4R73GZYT62O

not attested not anchored not stored refs pending

From a Sharp Thin-Shell Obstruction to a Smooth Positive-Density Initial-Data Embedding of a Virialized Halo in Lambda-FLRW Cosmology

Seokcheon Lee

arxiv:2608.12433 v1 · 2026-08-12 · 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{N32T23XTME6RFEA4R73GZYT62O}

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	2026-08-14T00:43:05.177799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef53d6ef3613d12901c8ff66ce27ed394104eb473dc7155c458a82f0801c3a1

Aliases

arxiv: 2608.12433 · arxiv_version: 2608.12433v1 · doi: 10.48550/arxiv.2608.12433 · pith_short_12: N32T23XTME6R · pith_short_16: N32T23XTME6RFEA4 · pith_short_8: N32T23XT

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/N32T23XTME6RFEA4R73GZYT62O \
  | 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: 6ef53d6ef3613d12901c8ff66ce27ed394104eb473dc7155c458a82f0801c3a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9155c14356c7bf5877d371d50bcae3c7c4ca996adfc592afa7d09fea48f82e2b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-12T13:13:57Z",
    "title_canon_sha256": "8825b0c623bf0f043c1359e0b9fa7df6206b4264aef04fbbb85ca2d50c3d327c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12433",
    "kind": "arxiv",
    "version": 1
  }
}