Pith Number

pith:VFR4UYJY

pith:2026:VFR4UYJYS3XFYUWCRWI3PLV3HQ

not attested not anchored not stored refs pending

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity

Abhishek Chowdhury, Ajit Prasad Mahapatra

arxiv:2607.05294 v1 · 2026-07-06 · hep-th · 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{VFR4UYJYS3XFYUWCRWI3PLV3HQ}

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	2026-07-07T03:19:22.502745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a963ca613896ee5c52c28d91b7aebb3c01e9dc24b465c3de67f7a12aad068229

Aliases

arxiv: 2607.05294 · arxiv_version: 2607.05294v1 · doi: 10.48550/arxiv.2607.05294 · pith_short_12: VFR4UYJYS3XF · pith_short_16: VFR4UYJYS3XFYUWC · pith_short_8: VFR4UYJY

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/VFR4UYJYS3XFYUWCRWI3PLV3HQ \
  | 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: a963ca613896ee5c52c28d91b7aebb3c01e9dc24b465c3de67f7a12aad068229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e64f88cb336938f62757a40965c6322f74def7b3565c77e3e405800237f1f8e",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-06T16:37:39Z",
    "title_canon_sha256": "697477d8d4afa63646ee0ed222d84da1377c9aca5d8af151cae2dd09e025a376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05294",
    "kind": "arxiv",
    "version": 1
  }
}