Pith Number

pith:YMU7YTAF

pith:2004:YMU7YTAFNP6HG7VY6WO4PL5LHT

not attested not anchored not stored refs pending

Hawking radiation for Dirac spinors on the RP^3 geon

Paul Langlois

arxiv:gr-qc/0403011 v3 · 2004-03-02 · 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{YMU7YTAFNP6HG7VY6WO4PL5LHT}

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	2026-05-18T02:37:30.172886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c329fc4c056bfc737eb8f59dc7afab3cd3ee2cc7402241b3d5f660c8e14f4318

Aliases

arxiv: gr-qc/0403011 · arxiv_version: gr-qc/0403011v3 · doi: 10.48550/arxiv.gr-qc/0403011 · pith_short_12: YMU7YTAFNP6H · pith_short_16: YMU7YTAFNP6HG7VY · pith_short_8: YMU7YTAF

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/YMU7YTAFNP6HG7VY6WO4PL5LHT \
  | 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: c329fc4c056bfc737eb8f59dc7afab3cd3ee2cc7402241b3d5f660c8e14f4318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c0990a27012e266f161b03e87bd69d2123dbb42a796df7d3378a9a8cbc02c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-03-02T13:08:22Z",
    "title_canon_sha256": "2d2795017537bff823537c2f26989c0bc3fc8b700e5dab16d6ee06c34ecffc42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0403011",
    "kind": "arxiv",
    "version": 3
  }
}