Pith Number

pith:2ZCEY4Z5

pith:2025:2ZCEY4Z5ZVLQMJ7MEI7UYXF7WV

not attested not anchored not stored refs pending

Quiver superconformal index and giant gravitons: asymptotics and expansions

Ali Zahabi, Souradeep Purkayastha, Zishen Qu

arxiv:2509.12123 v3 · 2025-09-15 · hep-th · math-ph · math.CO · 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{2ZCEY4Z5ZVLQMJ7MEI7UYXF7WV}

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	2026-07-14T02:21:19.968081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6444c733dcd570627ec223f4c5cbfb57e700ed5aa2838de7b7dd01250b0c5d6

Aliases

arxiv: 2509.12123 · arxiv_version: 2509.12123v3 · doi: 10.48550/arxiv.2509.12123 · pith_short_12: 2ZCEY4Z5ZVLQ · pith_short_16: 2ZCEY4Z5ZVLQMJ7M · pith_short_8: 2ZCEY4Z5

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/2ZCEY4Z5ZVLQMJ7MEI7UYXF7WV \
  | 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: d6444c733dcd570627ec223f4c5cbfb57e700ed5aa2838de7b7dd01250b0c5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e9650d0f75c3df1c2793c2ffbb4cbad1901fb7dc6b9d68de04cc1b92569171",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-15T16:50:25Z",
    "title_canon_sha256": "e420416d9175fd47caf8caa56ed681bcb8ff3175eb66cb79b740190d3d88390c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.12123",
    "kind": "arxiv",
    "version": 3
  }
}