Pith Number

pith:OY3GPBJW

pith:2021:OY3GPBJW752QQMZHJCDDTLBEJJ

not attested not anchored not stored refs pending

Learning quantum phase transitions through Topological Data Analysis

Andrea Tirelli, Natanael C. Costa

arxiv:2109.09555 v2 · 2021-09-20 · cond-mat.str-el · cs.AI · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OY3GPBJW752QQMZHJCDDTLBEJJ}

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	2026-07-05T10:27:02.641417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7636678536ff75083327488639ac244a50b6bb146441d8029d60e5bdb7818b9f

Aliases

arxiv: 2109.09555 · arxiv_version: 2109.09555v2 · doi: 10.48550/arxiv.2109.09555 · pith_short_12: OY3GPBJW752Q · pith_short_16: OY3GPBJW752QQMZH · pith_short_8: OY3GPBJW

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/OY3GPBJW752QQMZHJCDDTLBEJJ \
  | 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: 7636678536ff75083327488639ac244a50b6bb146441d8029d60e5bdb7818b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c218b4fac5e1327406e9a57e9d7f52d69f540c1af67af5c156c79a105b44ed6a",
    "cross_cats_sorted": [
      "cs.AI",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-09-20T14:08:22Z",
    "title_canon_sha256": "883e76c43f0a3652f10f455cb4d99436c0999d397d2eb52c65b593efcbb4c54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09555",
    "kind": "arxiv",
    "version": 2
  }
}