Pith Number

pith:T6HBUU4K

pith:2010:T6HBUU4KQWKLJPWIYZLS3BL2ZO

not attested not anchored not stored refs pending

Collapse of Vacuum Bubbles in a Vacuum

Kin-Wang Ng, Shang-Yung Wang

arxiv:1006.3441 v2 · 2010-06-17 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6HBUU4KQWKLJPWIYZLS3BL2ZO}

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	2026-05-18T04:28:09.723442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8e1a538a8594b4bec8c6572d857acbaef75ba0ac35ed73f75d54756bee8119

Aliases

arxiv: 1006.3441 · arxiv_version: 1006.3441v2 · doi: 10.48550/arxiv.1006.3441 · pith_short_12: T6HBUU4KQWKL · pith_short_16: T6HBUU4KQWKLJPWI · pith_short_8: T6HBUU4K

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/T6HBUU4KQWKLJPWIYZLS3BL2ZO \
  | 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: 9f8e1a538a8594b4bec8c6572d857acbaef75ba0ac35ed73f75d54756bee8119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "141b8a476d31e5f33073aeec7e316361a124406049f211df9751414fce4c132d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-17T12:03:00Z",
    "title_canon_sha256": "98ea2df220fc654b7ea843d90b76c4366119c086be82a07fd68ec166dc570eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3441",
    "kind": "arxiv",
    "version": 2
  }
}