Pith Number

pith:AAWX4ND4

pith:2001:AAWX4ND43UNTPBU3JLTN6VVNKD

not attested not anchored not stored refs pending

Vacuum Bubbles Nucleation and Dark Matter Production through Gauge Symmetry Rearrangement

A. Aurilia, E. Spallucci, S. Ansoldi

arxiv:hep-ph/0104212 v1 · 2001-04-21 · hep-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{AAWX4ND43UNTPBU3JLTN6VVNKD}

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	2026-07-04T16:27:19.679726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002d7e347cdd1b37869b4ae6df56ad50ef3c7a372c111ab4fc591638a78b6d80

Aliases

arxiv: hep-ph/0104212 · arxiv_version: hep-ph/0104212v1 · doi: 10.48550/arxiv.hep-ph/0104212 · pith_short_12: AAWX4ND43UNT · pith_short_16: AAWX4ND43UNTPBU3 · pith_short_8: AAWX4ND4

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/AAWX4ND43UNTPBU3JLTN6VVNKD \
  | 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: 002d7e347cdd1b37869b4ae6df56ad50ef3c7a372c111ab4fc591638a78b6d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70ee35b2b22180587d313e01283063ee73d0ccba9603a403d461f92f243744e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-04-21T06:52:00Z",
    "title_canon_sha256": "7c58fca9e68099067e63548c2ea34fe6031b9c53b8587b56475cf0bcda26c577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0104212",
    "kind": "arxiv",
    "version": 1
  }
}