Pith Number

pith:FM2X3L62

pith:2011:FM2X3L62WTLP7BPIDE7FS2M5S7

not attested not anchored not stored refs pending

Asymptotic Behavior of Massless Dirac Waves in Schwarzschild geometry

Chunjing Xie, Joel Smoller

arxiv:1104.2772 v1 · 2011-04-14 · gr-qc · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FM2X3L62WTLP7BPIDE7FS2M5S7}

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	2026-05-18T02:02:28.988789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b357dafdab4d6ff85e8193e59699d97e0d6200cdc6f9ce82b9c949565b1b6bb

Aliases

arxiv: 1104.2772 · arxiv_version: 1104.2772v1 · doi: 10.48550/arxiv.1104.2772 · pith_short_12: FM2X3L62WTLP · pith_short_16: FM2X3L62WTLP7BPI · pith_short_8: FM2X3L62

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/FM2X3L62WTLP7BPIDE7FS2M5S7 \
  | 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: 2b357dafdab4d6ff85e8193e59699d97e0d6200cdc6f9ce82b9c949565b1b6bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e3bc524fc76c0216c7bafe79564eeff35f2cc160ad1fd0180a58b5371d9264",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-14T14:15:01Z",
    "title_canon_sha256": "5280aa43b1e625e857ef773c2198d305f849469e3663cf503d556c39e4457f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2772",
    "kind": "arxiv",
    "version": 1
  }
}