Pith Number

pith:SDIBCU3P

pith:2025:SDIBCU3PX7GAPUMPIZVHEA3H2C

not attested not anchored not stored refs pending

Crystals and quantum twist automorphisms

Euiyong Park, Woo-Seok Jung

arxiv:2507.01306 v1 · 2025-07-02 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDIBCU3PX7GAPUMPIZVHEA3H2C}

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	2026-07-05T11:30:28.612946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d011536fbfcc07d18f466a720367d09f489eef79a818223f063aaab215eefd

Aliases

arxiv: 2507.01306 · arxiv_version: 2507.01306v1 · doi: 10.48550/arxiv.2507.01306 · pith_short_12: SDIBCU3PX7GA · pith_short_16: SDIBCU3PX7GAPUMP · pith_short_8: SDIBCU3P

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/SDIBCU3PX7GAPUMPIZVHEA3H2C \
  | 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: 90d011536fbfcc07d18f466a720367d09f489eef79a818223f063aaab215eefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23aa76bd1799d6049a8a9ddc6720d92cfec12d763dd3e722d3e125a516cf004f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-02T02:47:08Z",
    "title_canon_sha256": "bb75805994d3a4bc875ff22d6109102f8a6e547e201434def80c48d6d0efb1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01306",
    "kind": "arxiv",
    "version": 1
  }
}