Pith Number

pith:VDEMHL6V

pith:2024:VDEMHL6VYIKBDFEUNZJ6BH6BZP

not attested not anchored not stored refs pending

Quantum tunneling and its absence in deep wells and strong magnetic fields

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

arxiv:2412.21100 v2 · 2024-12-30 · math-ph · cond-mat.mes-hall · 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{VDEMHL6VYIKBDFEUNZJ6BH6BZP}

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	2026-07-05T09:55:37.308435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c8c3afd5c2141194946e53e09fc1cbfa594f79bc1661ca5bd23fad454abfcd

Aliases

arxiv: 2412.21100 · arxiv_version: 2412.21100v2 · doi: 10.48550/arxiv.2412.21100 · pith_short_12: VDEMHL6VYIKB · pith_short_16: VDEMHL6VYIKBDFEU · pith_short_8: VDEMHL6V

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/VDEMHL6VYIKBDFEUNZJ6BH6BZP \
  | 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: a8c8c3afd5c2141194946e53e09fc1cbfa594f79bc1661ca5bd23fad454abfcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d09e34a6cd10d0cbf86dc9663845a12c4dc6544f768578f50d06ddadea74a76",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-12-30T17:24:48Z",
    "title_canon_sha256": "150c1cc908fa3bae6023eec01cc15b4be04cb80496541bc39cf860e068c78fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21100",
    "kind": "arxiv",
    "version": 2
  }
}