Pith Number

pith:IGIMRL7M

pith:2026:IGIMRL7M4PXGJ3QMF535RCWDBJ

not attested not anchored not stored refs pending

The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data

Matteo Saccardi, Patrick Oare, Ryan Abbott, Sarah Fields, William I. Jay

arxiv:2605.20509 v1 · 2026-05-19 · hep-lat · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGIMRL7M4PXGJ3QMF535RCWDBJ}

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	2026-05-21T01:04:40.288100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4190c8afece3ee64ee0c2f77d88ac30a71423bc7002ba4b9895b54460fa3deee

Aliases

arxiv: 2605.20509 · arxiv_version: 2605.20509v1 · doi: 10.48550/arxiv.2605.20509 · pith_short_12: IGIMRL7M4PXG · pith_short_16: IGIMRL7M4PXGJ3QM · pith_short_8: IGIMRL7M

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/IGIMRL7M4PXGJ3QMF535RCWDBJ \
  | 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: 4190c8afece3ee64ee0c2f77d88ac30a71423bc7002ba4b9895b54460fa3deee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c31b5d9d9cb8754edd84036581fcfa04df4c0e1df305a9c4830b8803d125e1",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-05-19T21:25:12Z",
    "title_canon_sha256": "a214fe8ec76896cd4e3011bea00da7b459111fc1d2e35f1cb11562bb8cf6c030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20509",
    "kind": "arxiv",
    "version": 1
  }
}