Pith Number

pith:3YZKB3LV

pith:2019:3YZKB3LVRFFORAV43PAOQTHPQC

not attested not anchored not stored refs pending

Quantum Enhancements via Tribracket Brackets

Laira Aggarwal, Patricia Rivera, Sam Nelson

arxiv:1907.03011 v3 · 2019-07-05 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YZKB3LVRFFORAV43PAOQTHPQC}

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.

Cited by

1 paper in Pith

Psyquandle Brackets

Receipt and verification

First computed	2026-07-05T07:14:02.428279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89

Aliases

arxiv: 1907.03011 · arxiv_version: 1907.03011v3 · doi: 10.48550/arxiv.1907.03011 · pith_short_12: 3YZKB3LVRFFO · pith_short_16: 3YZKB3LVRFFORAV4 · pith_short_8: 3YZKB3LV

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/3YZKB3LVRFFORAV43PAOQTHPQC \
  | 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: de32a0ed75894ae882bcdbc0e84cef80a047f41c90f200086245fedfa79bab89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c4ef588040cf0af41aee78ddc7cf5cb9fbf01f606f471facdad15e35d8db4a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-05T19:56:13Z",
    "title_canon_sha256": "5ff79ac7e8b0746b0b268b46b6b4a283c17cb2ba6fbfeef0fdd50c0891d67180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03011",
    "kind": "arxiv",
    "version": 3
  }
}