Pith Number

pith:XLPHJQC2

pith:2025:XLPHJQC2F4CHY6FNJYRAFCUNZT

not attested not anchored not stored refs pending

$N \leftrightarrow -N$ duality of SU(N) for stable sequences of representations

R.L. Mkrtchyan

arxiv:2507.10371 v2 · 2025-07-14 · math-ph · hep-th · 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{XLPHJQC2F4CHY6FNJYRAFCUNZT}

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	2026-07-05T11:37:26.696747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bade74c05a2f047c78ad4e22028a8dccdb3d7f74c0b6261a73af3a117e3d05dc

Aliases

arxiv: 2507.10371 · arxiv_version: 2507.10371v2 · doi: 10.48550/arxiv.2507.10371 · pith_short_12: XLPHJQC2F4CH · pith_short_16: XLPHJQC2F4CHY6FN · pith_short_8: XLPHJQC2

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/XLPHJQC2F4CHY6FNJYRAFCUNZT \
  | 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: bade74c05a2f047c78ad4e22028a8dccdb3d7f74c0b6261a73af3a117e3d05dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7f3ca4e27e524281eb1b6709e1e81603ad7c86a44c854c0b01d3f29a741a69",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-14T15:12:40Z",
    "title_canon_sha256": "b456bf2ebee6f4cd88bf7b298f1efb37c1d267c57c5d935ad1febf3728588ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10371",
    "kind": "arxiv",
    "version": 2
  }
}