Pith Number

pith:3LIL3IMV

pith:2008:3LIL3IMVVH7F3SUQ3UKQOHNUUZ

not attested not anchored not stored refs pending

Signatures of unstable semiclassical trajectories in tunneling

A.G. Panin, D.G. Levkov, S.M. Sibiryakov

arxiv:0811.3391 v2 · 2008-11-20 · quant-ph · hep-th · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LIL3IMVVH7F3SUQ3UKQOHNUUZ}

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	2026-05-18T02:15:13.705805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad0bda195a9fe5dca90dd15071db4a656d6fcbca7fada92b0ce8c7abb87da20

Aliases

arxiv: 0811.3391 · arxiv_version: 0811.3391v2 · doi: 10.48550/arxiv.0811.3391 · pith_short_12: 3LIL3IMVVH7F · pith_short_16: 3LIL3IMVVH7F3SUQ · pith_short_8: 3LIL3IMV

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/3LIL3IMVVH7F3SUQ3UKQOHNUUZ \
  | 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: dad0bda195a9fe5dca90dd15071db4a656d6fcbca7fada92b0ce8c7abb87da20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a883fcd1043cff2845b1d138c59d257f10a6b9bab33a03154253e090436e47",
    "cross_cats_sorted": [
      "hep-th",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-11-20T19:10:14Z",
    "title_canon_sha256": "8c909aacde025126540e15eee7ae87daa94495c73cb6043883992bb22768835b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3391",
    "kind": "arxiv",
    "version": 2
  }
}