Pith Number

pith:22H3GJMA

pith:2015:22H3GJMAXR4L2624JMWRCDMKR7

not attested not anchored not stored refs pending

Thermal equilibrium states for quantum fields on non-commutative spacetimes

Gandalf Lechner, Jan Schlemmer

arxiv:1503.01639 v1 · 2015-03-05 · 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{22H3GJMAXR4L2624JMWRCDMKR7}

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	2026-05-18T02:25:33.225151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68fb32580bc78bd7b5c4b2d110d8a8fd2f48d177ff9514bf06ca69564b739ab

Aliases

arxiv: 1503.01639 · arxiv_version: 1503.01639v1 · doi: 10.48550/arxiv.1503.01639 · pith_short_12: 22H3GJMAXR4L · pith_short_16: 22H3GJMAXR4L2624 · pith_short_8: 22H3GJMA

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/22H3GJMAXR4L2624JMWRCDMKR7 \
  | 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: d68fb32580bc78bd7b5c4b2d110d8a8fd2f48d177ff9514bf06ca69564b739ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a15a530cc44c15e68d7579b43c3b2c2e436c4fd1b9da789ff3107af4405e345",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-05T14:01:53Z",
    "title_canon_sha256": "9d4a1e385df6b6a76968d66343e4764d28cbd8142a3b01fe73b8397a38214a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01639",
    "kind": "arxiv",
    "version": 1
  }
}