Pith Number

pith:MTAX5Y4I

pith:2020:MTAX5Y4I2D2JFVRTCIZISVZFPO

not attested not anchored not stored refs pending

Extended TQFTs via Generators and Relations I: The Extended Toric Code

Bruce Bartlett, Gerrit Goosen

arxiv:2001.08191 v2 · 2020-01-22 · math.QA · math.CT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTAX5Y4I2D2JFVRTCIZISVZFPO}

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	2026-07-05T01:15:56.746714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c17ee388d0f492d63312328957257ba8d43cd14d3658ec265ef4c85e1d56c7

Aliases

arxiv: 2001.08191 · arxiv_version: 2001.08191v2 · doi: 10.48550/arxiv.2001.08191 · pith_short_12: MTAX5Y4I2D2J · pith_short_16: MTAX5Y4I2D2JFVRT · pith_short_8: MTAX5Y4I

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/MTAX5Y4I2D2JFVRTCIZISVZFPO \
  | 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: 64c17ee388d0f492d63312328957257ba8d43cd14d3658ec265ef4c85e1d56c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6664d534d93bec1c5be039a8d4106ff443a6b3365cfa9c4ed2f346b937b4de2d",
    "cross_cats_sorted": [
      "math.CT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2020-01-22T18:23:12Z",
    "title_canon_sha256": "e79b7092f78e43f3c38f906fdf5eb729c75241c5ce8f3a8a153b855d7bbaa4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.08191",
    "kind": "arxiv",
    "version": 2
  }
}