Pith Number

pith:7D3GQCHD

pith:2025:7D3GQCHDZ3HCR34H7J2MT4CGTO

not attested not anchored not stored refs pending

Relating the modular Hamiltonian to two-point functions

Markus B. Fr\"ob

arxiv:2501.09669 v2 · 2025-01-16 · 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{7D3GQCHDZ3HCR34H7J2MT4CGTO}

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	2026-07-05T10:18:12.560636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f66808e3cece28ef87fa74c9f0469b9566f6f3fff12a418a53aba027572a32

Aliases

arxiv: 2501.09669 · arxiv_version: 2501.09669v2 · doi: 10.48550/arxiv.2501.09669 · pith_short_12: 7D3GQCHDZ3HC · pith_short_16: 7D3GQCHDZ3HCR34H · pith_short_8: 7D3GQCHD

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/7D3GQCHDZ3HCR34H7J2MT4CGTO \
  | 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: f8f66808e3cece28ef87fa74c9f0469b9566f6f3fff12a418a53aba027572a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b44c2faa35f933e19da7e5625c79851fb5562c55660c7fd6afce6984915b55",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-16T17:06:12Z",
    "title_canon_sha256": "67ca5d424b84e99a997a8bc22da11d74442e1cdca981f96cc006fb4545495847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09669",
    "kind": "arxiv",
    "version": 2
  }
}