Pith Number

pith:3GHKL2SH

pith:2015:3GHKL2SHNUKN4ZQV3T5QEDUQ3Z

not attested not anchored not stored refs pending

Hilbert Series for Theories with Aharony Duals

Amihay Hanany, Chiung Hwang, Hyungchul Kim, Jaemo Park, Rak-Kyeong Seong

arxiv:1505.02160 v1 · 2015-05-08 · 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{3GHKL2SHNUKN4ZQV3T5QEDUQ3Z}

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	2026-05-18T01:26:18.383786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98ea5ea476d14de6615dcfb020e90de671c3deadffe23c7d8c3df90cc53ef04

Aliases

arxiv: 1505.02160 · arxiv_version: 1505.02160v1 · doi: 10.48550/arxiv.1505.02160 · pith_short_12: 3GHKL2SHNUKN · pith_short_16: 3GHKL2SHNUKN4ZQV · pith_short_8: 3GHKL2SH

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/3GHKL2SHNUKN4ZQV3T5QEDUQ3Z \
  | 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: d98ea5ea476d14de6615dcfb020e90de671c3deadffe23c7d8c3df90cc53ef04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159f2f78fe4406d2d5092606594cc720e93ce8220d43fb259c5a9a18c7b43215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-05-08T20:00:28Z",
    "title_canon_sha256": "4df1d38c666b3b4a7d3d7f4a9e0e8738fc7247bc3db23bd1df0733bbf29ca39f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02160",
    "kind": "arxiv",
    "version": 1
  }
}