Pith Number

pith:ARHKJ5IC

pith:2014:ARHKJ5IC3HAYDRYUR3VFW7CWMV

not attested not anchored not stored refs pending

Black hole with a Dirac field in 3+1 dimensions

Adolfo Toloza

arxiv:1409.7752 v3 · 2014-09-27 · 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{ARHKJ5IC3HAYDRYUR3VFW7CWMV}

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	2026-05-18T02:25:04.651338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044ea4f502d9c181c7148eea5b7c566576444c4898f1c82034aa5fd8f6c3f3ac

Aliases

arxiv: 1409.7752 · arxiv_version: 1409.7752v3 · doi: 10.48550/arxiv.1409.7752 · pith_short_12: ARHKJ5IC3HAY · pith_short_16: ARHKJ5IC3HAYDRYU · pith_short_8: ARHKJ5IC

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/ARHKJ5IC3HAYDRYUR3VFW7CWMV \
  | 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: 044ea4f502d9c181c7148eea5b7c566576444c4898f1c82034aa5fd8f6c3f3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92a2195ecf6a08a7c9b413d27bf3ad02c6ae9e80fbf2dd06cea99ed172bdb607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-09-27T02:27:57Z",
    "title_canon_sha256": "0553e4dd3a1904cf714d97f86124e692654f53ebbae2a67078108ab4592efc3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7752",
    "kind": "arxiv",
    "version": 3
  }
}