Pith Number

pith:JN7I6IAP

pith:2026:JN7I6IAP4LGUWAF7UCLAYBTEA3

not attested not anchored not stored refs pending

Spherical representations of unitary groups at ramified places and the arithmetic inner product formula

Zhuoni Chi

arxiv:2602.02492 v2 · 2026-02-02 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JN7I6IAP4LGUWAF7UCLAYBTEA3}

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	2026-05-21T01:04:22.003615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7e8f200fe2cd4b00bfa0960c066406d82e92df729101e83fd6ea9ce0879752

Aliases

arxiv: 2602.02492 · arxiv_version: 2602.02492v2 · doi: 10.48550/arxiv.2602.02492 · pith_short_12: JN7I6IAP4LGU · pith_short_16: JN7I6IAP4LGUWAF7 · pith_short_8: JN7I6IAP

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/JN7I6IAP4LGUWAF7UCLAYBTEA3 \
  | 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: 4b7e8f200fe2cd4b00bfa0960c066406d82e92df729101e83fd6ea9ce0879752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "718fc38dfba4e31cf642a55b4208a469d14783626117673c0530f5c3f91932c4",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-02T18:59:39Z",
    "title_canon_sha256": "50bd915706300afd69e884f6fc551e2d25e1f5c7bd3d552fda8d8cea5a850ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.02492",
    "kind": "arxiv",
    "version": 2
  }
}