Pith Number

pith:P3FBUP5O

pith:2015:P3FBUP5OOJHHXRRGYYXOZOCTLY

not attested not anchored not stored refs pending

Hierarchy of correlations: Application to Green's functions and interacting topological phases

\'Alvaro G\'omez-Le\'on

arxiv:1512.07732 v3 · 2015-12-24 · cond-mat.str-el · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3FBUP5OOJHHXRRGYYXOZOCTLY}

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	2026-05-18T01:10:24.774697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eca1a3fae724e7bc626c62eecb8535e079f720d08e4da68edb8207fe9b77d22

Aliases

arxiv: 1512.07732 · arxiv_version: 1512.07732v3 · doi: 10.48550/arxiv.1512.07732 · pith_short_12: P3FBUP5OOJHH · pith_short_16: P3FBUP5OOJHHXRRG · pith_short_8: P3FBUP5O

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/P3FBUP5OOJHHXRRGYYXOZOCTLY \
  | 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: 7eca1a3fae724e7bc626c62eecb8535e079f720d08e4da68edb8207fe9b77d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177b12bd5b8e116d4f39a1cd3d568f14ff32f8320ed9f8cdfed44652e826af2b",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-12-24T07:12:29Z",
    "title_canon_sha256": "fc5cfa99f64375db103cad4b0114dd7703f0d7805fa6c4380ad8b3d9e5ee40bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07732",
    "kind": "arxiv",
    "version": 3
  }
}