Pith Number

pith:7C2G2NWA

pith:2023:7C2G2NWA5VQYIMLO7FVF7D7ZW3

not attested not anchored not stored refs pending

Hypertoric 2-categories O and symplectic duality

Benjamin Gammage, Justin Hilburn

arxiv:2310.06172 v2 · 2023-10-09 · math.RT · hep-th · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7C2G2NWA5VQYIMLO7FVF7D7ZW3}

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.

Cited by

1 paper in Pith

Nonabelian shift operators and shifted Yangians

Receipt and verification

First computed	2026-07-05T10:41:44.491041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b46d36c0ed6184316ef96a5f8ff9b6c696e59125b2c63ca65bce9d541a3527

Aliases

arxiv: 2310.06172 · arxiv_version: 2310.06172v2 · doi: 10.48550/arxiv.2310.06172 · pith_short_12: 7C2G2NWA5VQY · pith_short_16: 7C2G2NWA5VQYIMLO · pith_short_8: 7C2G2NWA

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/7C2G2NWA5VQYIMLO7FVF7D7ZW3 \
  | 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: f8b46d36c0ed6184316ef96a5f8ff9b6c696e59125b2c63ca65bce9d541a3527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7192179330478a0b7686b6686eb16849448972e2325cc170e08eef775900fc46",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-10-09T21:52:50Z",
    "title_canon_sha256": "ff6b9d7cbeca22aea7b93cba846ba3893857ff827774ae11814296eefcdd5f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06172",
    "kind": "arxiv",
    "version": 2
  }
}