Pith Number

pith:ZUGMQYED

pith:2025:ZUGMQYED3MXGIDVKFB3IJMJ5AA

not attested not anchored not stored refs pending

More on phase transitions in ${\cal N}$ = 2 massive gauge theories

Jeremias Aguilera Damia, Jorge G. Russo

arxiv:2507.01837 v2 · 2025-07-02 · 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{ZUGMQYED3MXGIDVKFB3IJMJ5AA}

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	2026-07-05T12:06:15.889792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0cc86083db2e640eaa287684b13d000c7f72ddf277d7a2eb5615bb17fce72c

Aliases

arxiv: 2507.01837 · arxiv_version: 2507.01837v2 · doi: 10.48550/arxiv.2507.01837 · pith_short_12: ZUGMQYED3MXG · pith_short_16: ZUGMQYED3MXGIDVK · pith_short_8: ZUGMQYED

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/ZUGMQYED3MXGIDVKFB3IJMJ5AA \
  | 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: cd0cc86083db2e640eaa287684b13d000c7f72ddf277d7a2eb5615bb17fce72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9043ce2b7914f488015f80196d1b641684306a22e70017fcc389b0d2ce52b6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-02T15:52:43Z",
    "title_canon_sha256": "54e1aa5d9b8949d2c9432da28eed5107ecb541e8dbe0e644f4d6a8678f6ceb06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01837",
    "kind": "arxiv",
    "version": 2
  }
}