Pith Number

pith:RHAHD73Y

pith:2013:RHAHD73Y3X5PYTKDHKLVOVDAFM

not attested not anchored not stored refs pending

A thermal coherent state defined with the Lie-Trotter product formula

Hiroo Azuma, Masashi Ban

arxiv:1312.7261 v3 · 2013-12-27 · 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{RHAHD73Y3X5PYTKDHKLVOVDAFM}

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	2026-05-18T01:37:02.419652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c071ff78ddfafc4d433a975754602b2f874c166141adf5361f68f98aee2fa3

Aliases

arxiv: 1312.7261 · arxiv_version: 1312.7261v3 · doi: 10.48550/arxiv.1312.7261 · pith_short_12: RHAHD73Y3X5P · pith_short_16: RHAHD73Y3X5PYTKD · pith_short_8: RHAHD73Y

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/RHAHD73Y3X5PYTKDHKLVOVDAFM \
  | 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: 89c071ff78ddfafc4d433a975754602b2f874c166141adf5361f68f98aee2fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0683b6deaaaa801ebd8759cca12bdbb48ba27e30183f4e713b6fe57e9d9cd7b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-27T13:38:55Z",
    "title_canon_sha256": "8cfd6e8136d6f451943a59f7853028d0b123e956a67e84e69422ad13520f82a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7261",
    "kind": "arxiv",
    "version": 3
  }
}