Pith Number

pith:MSJHE3IZ

pith:2026:MSJHE3IZSUA4MSZULW4XSRIPNE

not attested not anchored not stored refs pending

Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras

Alex Weekes, Dinakar Muthiah

arxiv:2607.24711 v1 · 2026-07-27 · math.RT · math-ph · math.AG · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSJHE3IZSUA4MSZULW4XSRIPNE}

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	2026-07-28T02:24:23.648523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6492726d199501c64b345db979450f691e3337fbba3ecde3729f507c2581b66d

Aliases

arxiv: 2607.24711 · arxiv_version: 2607.24711v1 · doi: 10.48550/arxiv.2607.24711 · pith_short_12: MSJHE3IZSUA4 · pith_short_16: MSJHE3IZSUA4MSZU · pith_short_8: MSJHE3IZ

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/MSJHE3IZSUA4MSZULW4XSRIPNE \
  | 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: 6492726d199501c64b345db979450f691e3337fbba3ecde3729f507c2581b66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f13a483fddfdf149f165a97fb87f047eebc1fc8c05dbb2564ffe5a3d3fca69ab",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-27T17:51:02Z",
    "title_canon_sha256": "53b8d46271f04cf808a57f8ad81991c741f30dcf41f9e9eff244755eb022e90d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24711",
    "kind": "arxiv",
    "version": 1
  }
}