Pith Number

pith:ATHK3K5I

pith:2015:ATHK3K5I4UDSQVXD4TIIXWPBPP

not attested not anchored not stored refs pending

KMS-like Properties of Local Equilibrium States in Quantum Field Theory

Michael Gransee, Nicola Pinamonti, Rainer Verch

arxiv:1508.05585 v1 · 2015-08-23 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATHK3K5I4UDSQVXD4TIIXWPBPP}

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	2026-05-18T01:34:52.144834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ceadaba8e5072856e3e4d08bd9e17bf4f77753bde3b80211fe91cfe40a49dc

Aliases

arxiv: 1508.05585 · arxiv_version: 1508.05585v1 · doi: 10.48550/arxiv.1508.05585 · pith_short_12: ATHK3K5I4UDS · pith_short_16: ATHK3K5I4UDSQVXD · pith_short_8: ATHK3K5I

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/ATHK3K5I4UDSQVXD4TIIXWPBPP \
  | 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: 04ceadaba8e5072856e3e4d08bd9e17bf4f77753bde3b80211fe91cfe40a49dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986423d75d1a2abbffd58481600d0d0d1593b9570bcd378e6fd550d19a917fb9",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-23T09:41:32Z",
    "title_canon_sha256": "79d0da36db6ec27b3393a32510c2ea48091642d59c69f1aac80dfeca4f5867a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05585",
    "kind": "arxiv",
    "version": 1
  }
}