Pith Number

pith:OBZHFI5M

pith:2019:OBZHFI5MDWEHS24YETBMY2K5SE

not attested not anchored not stored refs pending

Entropy of Coherent Excitations

Roberto Longo

arxiv:1901.02366 v2 · 2019-01-08 · math-ph · hep-th · 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{OBZHFI5MDWEHS24YETBMY2K5SE}

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

2 papers in Pith

Numerical approach to the modular operator for fermionic systems

Bounding relative entropy for non-unitary excitations in quantum field theory

Receipt and verification

First computed	2026-05-17T23:39:47.456574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f

Aliases

arxiv: 1901.02366 · arxiv_version: 1901.02366v2 · doi: 10.48550/arxiv.1901.02366 · pith_short_12: OBZHFI5MDWEH · pith_short_16: OBZHFI5MDWEHS24Y · pith_short_8: OBZHFI5M

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/OBZHFI5MDWEHS24YETBMY2K5SE \
  | 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: 707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff677b1c518a959e3312b518c20fb2e0af455e994b0985d6bf1d61a36373384b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-08T15:33:12Z",
    "title_canon_sha256": "de28564e60388b6dd05c17f37c48e3b38758d80459ef1dc92626698d1301b1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02366",
    "kind": "arxiv",
    "version": 2
  }
}