Pith Number

pith:CTW4WLMV

pith:2015:CTW4WLMVAV2OR3RNEXC6SBST7E

not attested not anchored not stored refs pending

Retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential

Geng Li, Z. C. Tu

arxiv:1511.01993 v1 · 2015-11-06 · 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{CTW4WLMVAV2OR3RNEXC6SBST7E}

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	2026-05-18T01:20:09.060681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14edcb2d950574e8ee2d25c5e90653f913e2b6256bc393a396c0731cc2caaca4

Aliases

arxiv: 1511.01993 · arxiv_version: 1511.01993v1 · doi: 10.48550/arxiv.1511.01993 · pith_short_12: CTW4WLMVAV2O · pith_short_16: CTW4WLMVAV2OR3RN · pith_short_8: CTW4WLMV

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/CTW4WLMVAV2OR3RNEXC6SBST7E \
  | 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: 14edcb2d950574e8ee2d25c5e90653f913e2b6256bc393a396c0731cc2caaca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fd5a63eb9db570bef5008f64cf9a809c28b1161488ce58130d76c613cc8059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-06T07:16:23Z",
    "title_canon_sha256": "ca6518204e938599f6544ae85575ac057aeab8cabdb72efe2d81a262cfe0a13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01993",
    "kind": "arxiv",
    "version": 1
  }
}