Pith Number

pith:JX4JO3JJ

pith:2012:JX4JO3JJDC53KDWO33O5WKWOVB

not attested not anchored not stored refs pending

Choptuik's critical spacetime exists

Eugene Trubowitz (ETH Zurich), Michael Reiterer (ETH Zurich)

arxiv:1203.3766 v1 · 2012-03-16 · 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{JX4JO3JJDC53KDWO33O5WKWOVB}

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

2 papers in Pith

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-05T01:00:58.161116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df8976d2918bbb50ecededddb2acea85303746db91eee3888f96759432238e1

Aliases

arxiv: 1203.3766 · arxiv_version: 1203.3766v1 · doi: 10.48550/arxiv.1203.3766 · pith_short_12: JX4JO3JJDC53 · pith_short_16: JX4JO3JJDC53KDWO · pith_short_8: JX4JO3JJ

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/JX4JO3JJDC53KDWO33O5WKWOVB \
  | 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: 4df8976d2918bbb50ecededddb2acea85303746db91eee3888f96759432238e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc4b29eaaf3d195e5ee4ba9bff66167f1e52e942ac66f7baaa626bcfe584fb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-16T17:14:00Z",
    "title_canon_sha256": "326082dbb020df75848273c83fab1ec99bca523d5c7985c023660938f3a8b611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3766",
    "kind": "arxiv",
    "version": 1
  }
}