Pith Number

pith:M7GRTJ3Z

pith:2026:M7GRTJ3ZY2GXB7MZJ2NG7YLGMT

not attested not anchored not stored refs pending

Uniqueness of Branching through regular unipotent elements

Santosha Pattanayak, Santosh Nadimpalli

arxiv:2607.03804 v1 · 2026-07-04 · 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{M7GRTJ3ZY2GXB7MZJ2NG7YLGMT}

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	2026-07-07T02:18:08.462564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cd19a779c68d70fd994e9a6fe16664f7978205c9c2a49a9fdbb1ce474abb77

Aliases

arxiv: 2607.03804 · arxiv_version: 2607.03804v1 · doi: 10.48550/arxiv.2607.03804 · pith_short_12: M7GRTJ3ZY2GX · pith_short_16: M7GRTJ3ZY2GXB7MZ · pith_short_8: M7GRTJ3Z

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/M7GRTJ3ZY2GXB7MZJ2NG7YLGMT \
  | 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: 67cd19a779c68d70fd994e9a6fe16664f7978205c9c2a49a9fdbb1ce474abb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b14122dbac55a2f7a6ef446821d33292aa4b47fb38882840859771fca7c9cf8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-04T10:24:36Z",
    "title_canon_sha256": "7271016c9e7ec7718f7f773fcfe265115470c7a7e08b89eb6b26505b103ec1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03804",
    "kind": "arxiv",
    "version": 1
  }
}