Pith Number

pith:AAPPEGPA

pith:2025:AAPPEGPA66QSMPDUBTA2AI6UXX

not attested not anchored not stored refs pending

VacuumTunneling: A package to solve bounce equation with renormalization factor

Banghui Hua, Jiang Zhu

arxiv:2501.15236 v1 · 2025-01-25 · hep-ph · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAPPEGPA66QSMPDUBTA2AI6UXX}

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.

Cited by

1 paper in Pith

An Exploration of Vacuum-Decay Valleys

Receipt and verification

First computed	2026-07-05T10:05:26.113225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001ef219e0f7a1263c740cc1a023d4bdc8fd83a46e487e212a9bb8d8b6b57a78

Aliases

arxiv: 2501.15236 · arxiv_version: 2501.15236v1 · doi: 10.48550/arxiv.2501.15236 · pith_short_12: AAPPEGPA66QS · pith_short_16: AAPPEGPA66QSMPDU · pith_short_8: AAPPEGPA

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/AAPPEGPA66QSMPDUBTA2AI6UXX \
  | 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: 001ef219e0f7a1263c740cc1a023d4bdc8fd83a46e487e212a9bb8d8b6b57a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43fb55607fc36dd1f5420a28af11ebab9471bd79efa839fe8b718d7227eb35f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-01-25T14:50:37Z",
    "title_canon_sha256": "69d469a1b43b10e35613a47654692e9b8af34ae958ee3901f50d6699d38c53d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15236",
    "kind": "arxiv",
    "version": 1
  }
}