Pith Number

pith:UALHPRYI

pith:2023:UALHPRYITIVXW3NRGCTNMV2DZT

not attested not anchored not stored refs pending

Mapping class groups of circle bundles over a surface

Bena Tshishiku, Lei Chen

arxiv:2301.05375 v1 · 2023-01-13 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UALHPRYITIVXW3NRGCTNMV2DZT}

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

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle

Receipt and verification

First computed	2026-07-05T05:32:52.198478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01677c7089a2b7b6db130a6d65743cceb05695f8e74fbe304977a88efe9f38b

Aliases

arxiv: 2301.05375 · arxiv_version: 2301.05375v1 · doi: 10.48550/arxiv.2301.05375 · pith_short_12: UALHPRYITIVX · pith_short_16: UALHPRYITIVXW3NR · pith_short_8: UALHPRYI

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/UALHPRYITIVXW3NRGCTNMV2DZT \
  | 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: a01677c7089a2b7b6db130a6d65743cceb05695f8e74fbe304977a88efe9f38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3559f70f99ac88a128205a0001a0f043beeceff15609995e99bf030d01cef64c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-01-13T03:16:30Z",
    "title_canon_sha256": "dfefa764cf19add7f0aeb63c5b786b3c856b723f4378830309f5492b5d33e993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05375",
    "kind": "arxiv",
    "version": 1
  }
}