Pith Number

pith:4DO7OPIA

pith:2026:4DO7OPIAR3CI7DH5WOEOZUPFXA

not attested not anchored not stored refs pending

From phase space to Krylov space, one shell at a time

Adri\'an S\'anchez-Garrido, Julian Sonner, Nicolas De Ro

arxiv:2607.12585 v1 · 2026-07-14 · cond-mat.stat-mech · cond-mat.str-el · hep-th · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DO7OPIAR3CI7DH5WOEOZUPFXA}

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.

Cited by

1 paper in Pith

Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models

Receipt and verification

First computed	2026-07-15T01:22:05.339174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ddf73d008ec48f8cfdb388ecd1e5b823054839b40466a83b64c5a912a3f895

Aliases

arxiv: 2607.12585 · arxiv_version: 2607.12585v1 · doi: 10.48550/arxiv.2607.12585 · pith_short_12: 4DO7OPIAR3CI · pith_short_16: 4DO7OPIAR3CI7DH5 · pith_short_8: 4DO7OPIA

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/4DO7OPIAR3CI7DH5WOEOZUPFXA \
  | 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: e0ddf73d008ec48f8cfdb388ecd1e5b823054839b40466a83b64c5a912a3f895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24a2e771881528446d12c035385ce1e32849db2b7ba9474811b1ec74bea3427",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-14T09:54:05Z",
    "title_canon_sha256": "d69b0b17bb301418579af7f54fbf60b479b3f6dc4959a0b7e7703013ca17d114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12585",
    "kind": "arxiv",
    "version": 1
  }
}