Pith Number

pith:XAY775VU

pith:2012:XAY775VURTLFNIDB5SD2JPX4E5

not attested not anchored not stored refs pending

Resonance widths in a case of multidimensional phase space tunneling

Alain Grigis, Andr\'e Martinez

arxiv:1205.7004 v1 · 2012-05-31 · 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{XAY775VURTLFNIDB5SD2JPX4E5}

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	2026-05-18T03:54:36.387251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b831fff6b48cd656a061ec87a4befc2751e49f7fec1c6aac37e54faf5c1309df

Aliases

arxiv: 1205.7004 · arxiv_version: 1205.7004v1 · doi: 10.48550/arxiv.1205.7004 · pith_short_12: XAY775VURTLF · pith_short_16: XAY775VURTLFNIDB · pith_short_8: XAY775VU

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/XAY775VURTLFNIDB5SD2JPX4E5 \
  | 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: b831fff6b48cd656a061ec87a4befc2751e49f7fec1c6aac37e54faf5c1309df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0032d2dabb4b8e2dbdfe10981e59ede42873abdfbccd8b9c83991f14641b9846",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-31T14:22:58Z",
    "title_canon_sha256": "415ea44d468d1fb1ef1cf3ee97b6f9db51581071b33853dd1469d08780291882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7004",
    "kind": "arxiv",
    "version": 1
  }
}