Pith Number

pith:7TGCUHTO

pith:2026:7TGCUHTOTHMED3UVOQSPEPZSRT

not attested not anchored not stored refs pending

Hidden Gauge Freedom in Complex-Pole Hierarchical Equations of Motion

Andr\'es Montoya-Castillo, Tianchu Li

arxiv:2607.04834 v1 · 2026-07-06 · physics.chem-ph · 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{7TGCUHTOTHMED3UVOQSPEPZSRT}

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	2026-07-07T02:20:06.226256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d

Aliases

arxiv: 2607.04834 · arxiv_version: 2607.04834v1 · doi: 10.48550/arxiv.2607.04834 · pith_short_12: 7TGCUHTOTHME · pith_short_16: 7TGCUHTOTHMED3UV · pith_short_8: 7TGCUHTO

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/7TGCUHTOTHMED3UVOQSPEPZSRT \
  | 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: fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db46ef34d2072338cb611f004347307ec232311ba379f67d94752144a1fd2bc",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-07-06T09:08:52Z",
    "title_canon_sha256": "8d93beb5f92d3bda4683840508421893d72dd1203e0ce82453b69c7162b8e32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04834",
    "kind": "arxiv",
    "version": 1
  }
}