Pith Number

pith:B64HHOXS

pith:2011:B64HHOXSNQTWXF2APYX27TKBAV

not attested not anchored not stored refs pending

Gravitation and tunnelling: Subtleties of the thin-wall approximation and rapid decays

Keith Copsey

arxiv:1108.2255 v1 · 2011-08-10 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B64HHOXSNQTWXF2APYX27TKBAV}

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	2026-05-18T02:21:42.320843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb873baf26c276b97407e2fafcd410547636727fcd1ca9813dfdc7db134980a

Aliases

arxiv: 1108.2255 · arxiv_version: 1108.2255v1 · doi: 10.48550/arxiv.1108.2255 · pith_short_12: B64HHOXSNQTW · pith_short_16: B64HHOXSNQTWXF2A · pith_short_8: B64HHOXS

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/B64HHOXSNQTWXF2APYX27TKBAV \
  | 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: 0fb873baf26c276b97407e2fafcd410547636727fcd1ca9813dfdc7db134980a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fc9b9d0f2ee2b7e560a524654faa53aa0d6a8a522ce9c95d2c4c435a900b70",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-10T19:22:42Z",
    "title_canon_sha256": "190ce82ba4673b6545bfe4ec5d01599221c51d3ee324349ce084c7bd8ea36787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2255",
    "kind": "arxiv",
    "version": 1
  }
}