Pith Number

pith:O4TGFSHQ

pith:2025:O4TGFSHQBP4N7ELA3HJODNJHKK

not attested not anchored not stored refs pending

Braid group symmetries on Poisson algebras arising from quantum symmetric pairs

Jinfeng Song, Weinan Zhang

arxiv:2507.09456 v1 · 2025-07-13 · math.QA · 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{O4TGFSHQBP4N7ELA3HJODNJHKK}

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	2026-07-05T11:36:09.344391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772662c8f00bf8df9160d9d2e1b527528a42e65560a8325be55cd93ce674a716

Aliases

arxiv: 2507.09456 · arxiv_version: 2507.09456v1 · doi: 10.48550/arxiv.2507.09456 · pith_short_12: O4TGFSHQBP4N · pith_short_16: O4TGFSHQBP4N7ELA · pith_short_8: O4TGFSHQ

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/O4TGFSHQBP4N7ELA3HJODNJHKK \
  | 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: 772662c8f00bf8df9160d9d2e1b527528a42e65560a8325be55cd93ce674a716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53c722d85b73e706b78477d8f18307d929c2a77748bbb0061a7a5f97321c2a7",
    "cross_cats_sorted": [
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-07-13T02:47:26Z",
    "title_canon_sha256": "43a7822452c4f4807d83412c336a304b3ab5d60aa04b3904b65001cb2e35e641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09456",
    "kind": "arxiv",
    "version": 1
  }
}