Pith Number

pith:RT6VL3ZQ

pith:2020:RT6VL3ZQVOPC63LBNCNBIMLM2D

not attested not anchored not stored refs pending

Quantitative and Interpretable Order Parameters for Phase Transitions from Persistent Homology

Alex Cole, Gary Shiu, Gregory J. Loges

arxiv:2009.14231 v1 · 2020-09-29 · cond-mat.stat-mech · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RT6VL3ZQVOPC63LBNCNBIMLM2D}

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	2026-07-05T03:19:01.397526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cfd55ef30ab9e2f6d61689a14316cd0c6174ad403c5e8541bdfd907c6d98f31

Aliases

arxiv: 2009.14231 · arxiv_version: 2009.14231v1 · doi: 10.48550/arxiv.2009.14231 · pith_short_12: RT6VL3ZQVOPC · pith_short_16: RT6VL3ZQVOPC63LB · pith_short_8: RT6VL3ZQ

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/RT6VL3ZQVOPC63LBNCNBIMLM2D \
  | 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: 8cfd55ef30ab9e2f6d61689a14316cd0c6174ad403c5e8541bdfd907c6d98f31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c762a2aa4078ba826daf0a8985b63cec59754042240c2894ae2fa3628ce5c6bd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2020-09-29T18:06:14Z",
    "title_canon_sha256": "e85264f97d33aabde58e6a02f7a2861be22a52ba2a72bc3f55a810189b19847f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.14231",
    "kind": "arxiv",
    "version": 1
  }
}