Pith Number

pith:TBXFUQBV

pith:2015:TBXFUQBV5SMUIR6Z2G6AQCETTM

not attested not anchored not stored refs pending

A minimal exactly solved model with the extreme Thouless effect

Agata Fronczak, Andrzej Krawiecki, Piotr Fronczak

arxiv:1511.03859 v1 · 2015-11-12 · 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{TBXFUQBV5SMUIR6Z2G6AQCETTM}

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	2026-05-18T01:22:33.205886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986e5a4035ec994447d9d1bc0808939b3f9986059787e0b8fa705c6c174b722f

Aliases

arxiv: 1511.03859 · arxiv_version: 1511.03859v1 · doi: 10.48550/arxiv.1511.03859 · pith_short_12: TBXFUQBV5SMU · pith_short_16: TBXFUQBV5SMUIR6Z · pith_short_8: TBXFUQBV

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/TBXFUQBV5SMUIR6Z2G6AQCETTM \
  | 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: 986e5a4035ec994447d9d1bc0808939b3f9986059787e0b8fa705c6c174b722f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c1582fab80ecb8d500de965d540c06d6be1c5e07a7a5e9c0f5e3abcaeab79d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-12T11:21:50Z",
    "title_canon_sha256": "682e1e0e75d23fb7b3b238381a014f3153fa79107e58d2405877cf55058022d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03859",
    "kind": "arxiv",
    "version": 1
  }
}