Pith Number

pith:OARYHI3E

pith:2026:OARYHI3ESRV2CSIHCZO23MKEGS

not attested not anchored not stored refs pending

Spectral gap of Lee-Yang Hamiltonians

Chaithanya Rayudu, Jun Takahashi

arxiv:2607.10765 v1 · 2026-07-12 · quant-ph · cond-mat.stat-mech · cs.CC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OARYHI3ESRV2CSIHCZO23MKEGS}

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	2026-07-14T01:21:38.977620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702383a364946ba14907165dadb144349366b2d224d58142ad40f913664f8b16

Aliases

arxiv: 2607.10765 · arxiv_version: 2607.10765v1 · doi: 10.48550/arxiv.2607.10765 · pith_short_12: OARYHI3ESRV2 · pith_short_16: OARYHI3ESRV2CSIH · pith_short_8: OARYHI3E

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/OARYHI3ESRV2CSIHCZO23MKEGS \
  | 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: 702383a364946ba14907165dadb144349366b2d224d58142ad40f913664f8b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5ef213460ced84ca2eb8a83858ce21d715c99d66d63ea91297dcb63e27bea9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.CC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-12T13:43:00Z",
    "title_canon_sha256": "8cad5a946b5af3c0b40c4b51fed496608590ded03c922c006d76d377fb07cb9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10765",
    "kind": "arxiv",
    "version": 1
  }
}