Pith Number

pith:YGGM5Q7S

pith:2020:YGGM5Q7SUBFSSY5IZQLKQFS76E

not attested not anchored not stored refs pending

Lower Bound on Quantum Tunneling for Strong Magnetic Fields

Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein

arxiv:2006.08025 v3 · 2020-06-14 · math-ph · math.AP · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGGM5Q7SUBFSSY5IZQLKQFS76E}

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	2026-07-05T03:50:46.249054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18ccec3f2a04b2963a8cc16a8165ff12adb5c0c77f5b3c57a258df679c89d4f

Aliases

arxiv: 2006.08025 · arxiv_version: 2006.08025v3 · doi: 10.48550/arxiv.2006.08025 · pith_short_12: YGGM5Q7SUBFS · pith_short_16: YGGM5Q7SUBFSSY5I · pith_short_8: YGGM5Q7S

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/YGGM5Q7SUBFSSY5IZQLKQFS76E \
  | 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: c18ccec3f2a04b2963a8cc16a8165ff12adb5c0c77f5b3c57a258df679c89d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a9a5f018fd1ff7871f04024b2da5dc8c1f5c69b59c48619b3eb26f85c00d04",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-06-14T21:12:03Z",
    "title_canon_sha256": "ff17f60dd93059e9fc3b4830321cf9b924c507b8264f7c29d424b8ab89a8473a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08025",
    "kind": "arxiv",
    "version": 3
  }
}