Pith Number

pith:HWQV5GCW

pith:2021:HWQV5GCWV4EHWI26BNMYSXUQXS

not attested not anchored not stored refs pending

Gravitational collapse of quantum fields and Choptuik scaling

Benjamin Berczi, Paul M. Saffin, Shuang-Yong Zhou

arxiv:2111.11400 v1 · 2021-11-22 · 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{HWQV5GCWV4EHWI26BNMYSXUQXS}

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

4 papers in Pith

Quantum fate of the Choptuik naked singularity

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-05T04:02:59.097900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da15e9856af087b235e0b59895e90bc9ce0875a5ee0c6ca16df1da92b3a4177

Aliases

arxiv: 2111.11400 · arxiv_version: 2111.11400v1 · doi: 10.48550/arxiv.2111.11400 · pith_short_12: HWQV5GCWV4EH · pith_short_16: HWQV5GCWV4EHWI26 · pith_short_8: HWQV5GCW

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/HWQV5GCWV4EHWI26BNMYSXUQXS \
  | 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: 3da15e9856af087b235e0b59895e90bc9ce0875a5ee0c6ca16df1da92b3a4177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc55c851bdfcc6926cc20316211bd0c3454181fe9c547b82c4db90bf9e6d4ed9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-22T18:19:05Z",
    "title_canon_sha256": "0e5fba70916f41a408061b215f49e147391046beaa096c57058428c82529c2d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11400",
    "kind": "arxiv",
    "version": 1
  }
}