Pith Number

pith:CZVER34Q

pith:2026:CZVER34Q74DY77FJ5B3WEEOOKD

not attested not anchored not stored refs pending

Equal-charge projection of the $\mathcal{N}=4$ index: exact large-$N$ formula and finite-rank $U(3)$ coefficients

Miguel Tierz

arxiv:2607.03735 v1 · 2026-07-04 · hep-th · gr-qc · 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{CZVER34Q74DY77FJ5B3WEEOOKD}

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	2026-07-07T02:18:04.472547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166a48ef90ff078ffca9e8776211ce50c05017faa42ef0db76291a8291651f04

Aliases

arxiv: 2607.03735 · arxiv_version: 2607.03735v1 · doi: 10.48550/arxiv.2607.03735 · pith_short_12: CZVER34Q74DY · pith_short_16: CZVER34Q74DY77FJ · pith_short_8: CZVER34Q

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/CZVER34Q74DY77FJ5B3WEEOOKD \
  | 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: 166a48ef90ff078ffca9e8776211ce50c05017faa42ef0db76291a8291651f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53ba4171c28162ec5cc1680f7d5b8e2fa55a3d1eb85d2b3659c4bad72dd432d",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-04T06:44:40Z",
    "title_canon_sha256": "f0e0208fbfa078a592cbf3c8dbb7a0fe3675ee051ffd9f8221af2c58b230d9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03735",
    "kind": "arxiv",
    "version": 1
  }
}