Pith Number

pith:LXKFC3UQ

pith:2020:LXKFC3UQU5WWGL3FJLIDCPUI6Z

not attested not anchored not stored refs pending

The massless modular Hamiltonian

Gerardo Morsella, Roberto Longo

arxiv:2012.00565 v4 · 2020-12-01 · math-ph · cs.IT · hep-th · math.AP · math.IT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXKFC3UQU5WWGL3FJLIDCPUI6Z}

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.

Cited by

1 paper in Pith

Numerical approach to the modular operator for fermionic systems

Receipt and verification

First computed	2026-07-05T05:00:12.897352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd4516e90a76d632f654ad0313e88f6543e3a31dc23763f1a5bac83f3f1dea8

Aliases

arxiv: 2012.00565 · arxiv_version: 2012.00565v4 · doi: 10.48550/arxiv.2012.00565 · pith_short_12: LXKFC3UQU5WW · pith_short_16: LXKFC3UQU5WWGL3F · pith_short_8: LXKFC3UQ

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/LXKFC3UQU5WWGL3FJLIDCPUI6Z \
  | 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: 5dd4516e90a76d632f654ad0313e88f6543e3a31dc23763f1a5bac83f3f1dea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244d045011d7444160351d7be5b08f2335e7df2f419f8de85ecfff0b33a98671",
    "cross_cats_sorted": [
      "cs.IT",
      "hep-th",
      "math.AP",
      "math.IT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-12-01T15:17:40Z",
    "title_canon_sha256": "9edf07d5f130d8c36d298e4f83b72713aa4fe5e381f873b3f8accd2287ce7704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.00565",
    "kind": "arxiv",
    "version": 4
  }
}