Pith Number

pith:ZHV2P3BI

pith:2022:ZHV2P3BII77LOE7T2TSGBKEHU3

not attested not anchored not stored refs pending

Quantum many-body systems in thermal equilibrium

\'Alvaro M. Alhambra

arxiv:2204.08349 v2 · 2022-04-18 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHV2P3BII77LOE7T2TSGBKEHU3}

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

Nielsen complexity with multiple cost factors

Receipt and verification

First computed	2026-07-05T07:20:05.542450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9eba7ec2847feb713f3d4e460a887a6c4b2d0e429284f20dc745b5dd08765e7

Aliases

arxiv: 2204.08349 · arxiv_version: 2204.08349v2 · doi: 10.48550/arxiv.2204.08349 · pith_short_12: ZHV2P3BII77L · pith_short_16: ZHV2P3BII77LOE7T · pith_short_8: ZHV2P3BI

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/ZHV2P3BII77LOE7T2TSGBKEHU3 \
  | 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: c9eba7ec2847feb713f3d4e460a887a6c4b2d0e429284f20dc745b5dd08765e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a94b84617ce69eb5baec615c569ffb2f9399882202e8075f19038bb1136c77",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-04-18T14:46:41Z",
    "title_canon_sha256": "a703583f5bbe17f8d666bbfa05ab3256470b364da43063f12b49d1590946933c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08349",
    "kind": "arxiv",
    "version": 2
  }
}