Pith Number

pith:WNKS3GR3

pith:2025:WNKS3GR3NR33K2YKRA7MN5QVBU

not attested not anchored not stored refs pending

3D mirror symmetry in positive characteristic

Jae Hee Lee, Shaoyun Bai

arxiv:2503.23590 v2 · 2025-03-30 · math.RT · 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{WNKS3GR3NR33K2YKRA7MN5QVBU}

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	2026-06-30T02:16:50.522582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3552d9a3b6c77b56b0a883ec6f6150d03178f81d57cd7d7c3a0d9adb3293870

Aliases

arxiv: 2503.23590 · arxiv_version: 2503.23590v2 · doi: 10.48550/arxiv.2503.23590 · pith_short_12: WNKS3GR3NR33 · pith_short_16: WNKS3GR3NR33K2YK · pith_short_8: WNKS3GR3

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/WNKS3GR3NR33K2YKRA7MN5QVBU \
  | 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: b3552d9a3b6c77b56b0a883ec6f6150d03178f81d57cd7d7c3a0d9adb3293870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df795c4f1fb00a838ea4db255b39f5349d1735e4b2d5d9298418eb9e4c8ab3e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-03-30T20:57:40Z",
    "title_canon_sha256": "ae784cddfb2a28d40c1c84ee8ac53d71fa3559b429e0cdb669b97361c128e61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23590",
    "kind": "arxiv",
    "version": 2
  }
}