Pith Number

pith:XRLWPYKV

pith:2026:XRLWPYKV7TLN6DA34ZM3F7M2QK

not attested not anchored not stored refs pending

Sharp Bounds on Ground State Energy of the SYK Model

Arpon Basu, Pravesh K. Kothari, Siddhant Midha

arxiv:2607.27185 v1 · 2026-07-29 · quant-ph · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRLWPYKV7TLN6DA34ZM3F7M2QK}

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	2026-07-30T01:23:59.872446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

bc5767e155fcd6df0c1be659b2fd9a82a90e067279d2f84cf73d358d81afac07

Aliases

arxiv: 2607.27185 · arxiv_version: 2607.27185v1 · doi: 10.48550/arxiv.2607.27185 · pith_short_12: XRLWPYKV7TLN · pith_short_16: XRLWPYKV7TLN6DA3 · pith_short_8: XRLWPYKV

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/XRLWPYKV7TLN6DA34ZM3F7M2QK \
  | 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: bc5767e155fcd6df0c1be659b2fd9a82a90e067279d2f84cf73d358d81afac07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709a32ea42690442b03ece974c55bb87179114e7e2a987d4ebad4a6bfcaf3ecc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-29T17:54:18Z",
    "title_canon_sha256": "54d42978a861fcfc062af44141dc59edc648c803384b20247840bf354ac58fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27185",
    "kind": "arxiv",
    "version": 1
  }
}