Pith Number

pith:GEXXOPAQ

pith:2007:GEXXOPAQYDTPZUPMK47F6YX4P4

not attested not anchored not stored refs pending

Delay Times for Symmetrized and Antisymmetrized Quantum Tunneling Configurations

Alex E. Bernardini

arxiv:0711.4695 v2 · 2007-11-29 · quant-ph · 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{GEXXOPAQYDTPZUPMK47F6YX4P4}

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	2026-05-18T00:31:14.386143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312f773c10c0e6fcd1ec573e5f62fc7f3a13c9fd707fa8140518cbfe82ce6f02

Aliases

arxiv: 0711.4695 · arxiv_version: 0711.4695v2 · doi: 10.48550/arxiv.0711.4695 · pith_short_12: GEXXOPAQYDTP · pith_short_16: GEXXOPAQYDTPZUPM · pith_short_8: GEXXOPAQ

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/GEXXOPAQYDTPZUPMK47F6YX4P4 \
  | 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: 312f773c10c0e6fcd1ec573e5f62fc7f3a13c9fd707fa8140518cbfe82ce6f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d25a0b80c6af8afc5fcfcae5a53155a15df1afc2bfc65a5206d93c658333fa",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-11-29T12:01:18Z",
    "title_canon_sha256": "46dc485161a2727cac63b7e0f32a878b2c764bf9d03c709de4cb143416321571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4695",
    "kind": "arxiv",
    "version": 2
  }
}