Pith Number

pith:BMX5JJTO

pith:2026:BMX5JJTOE4Z2ZEA563T53I2UH7

not attested not anchored not stored refs pending

Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions

Yoshiki Fukusumi, Yuma Furuta

arxiv:2608.08428 v1 · 2026-08-09 · hep-th · cond-mat.stat-mech · cond-mat.str-el · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMX5JJTOE4Z2ZEA563T53I2UH7}

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	2026-08-11T01:22:36.711606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b2fd4a66e2733ac901df6e7dda3543fe2600634361364a69b05189204c5a395

Aliases

arxiv: 2608.08428 · arxiv_version: 2608.08428v1 · doi: 10.48550/arxiv.2608.08428 · pith_short_12: BMX5JJTOE4Z2 · pith_short_16: BMX5JJTOE4Z2ZEA5 · pith_short_8: BMX5JJTO

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/BMX5JJTOE4Z2ZEA563T53I2UH7 \
  | 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: 0b2fd4a66e2733ac901df6e7dda3543fe2600634361364a69b05189204c5a395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d15537a7ccd0094dacea7516b1eaed53e7188267f4ec16491feef245f6e1d0c1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-09T02:57:39Z",
    "title_canon_sha256": "baf3f64e959c5d003b9fe1e783149c3a6612f31bf2abf3ad54767b2ff1b030f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08428",
    "kind": "arxiv",
    "version": 1
  }
}