Pith Number

pith:CPYCLJOH

pith:2016:CPYCLJOHK2ZMQH5ER42X2XSJK7

not attested not anchored not stored refs pending

Grand Projection State: A Single Microscopic State to Determine Free Energy

Kazuhito Takeuchi, Koretaka Yuge, Tetsuya Kishimoto, Tetsuya Taikei

arxiv:1604.05829 v2 · 2016-04-20 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPYCLJOHK2ZMQH5ER42X2XSJK7}

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	2026-05-18T00:21:43.755857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f025a5c756b2c81fa48f357d5e4957c1336d9b87e3773eda14932dd0839eb9

Aliases

arxiv: 1604.05829 · arxiv_version: 1604.05829v2 · doi: 10.48550/arxiv.1604.05829 · pith_short_12: CPYCLJOHK2ZM · pith_short_16: CPYCLJOHK2ZMQH5E · pith_short_8: CPYCLJOH

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/CPYCLJOHK2ZMQH5ER42X2XSJK7 \
  | 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: 13f025a5c756b2c81fa48f357d5e4957c1336d9b87e3773eda14932dd0839eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1030ab1c18edfd55189569dc19451748e491fd81808579454061dc408b1f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-04-20T06:05:37Z",
    "title_canon_sha256": "2b4e420edf4b11bac1a062728d7abfda6d18a920d4657283a111efd8a2922a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05829",
    "kind": "arxiv",
    "version": 2
  }
}