Pith Number

pith:YRWNRRCV

pith:2017:YRWNRRCV2CEU5EESYSDVFOE5DR

not attested not anchored not stored refs pending

Semigroup and Category-Theoretic Approaches to Partial Symmetry

Alistair R. Wallis

arxiv:1707.02066 v1 · 2017-07-07 · math.CT · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRWNRRCV2CEU5EESYSDVFOE5DR}

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	2026-05-18T00:40:43.074930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c46cd8c455d0894e9092c48752b89d1c586e1665b1e6bf77fd897d1f02c4cdd0

Aliases

arxiv: 1707.02066 · arxiv_version: 1707.02066v1 · doi: 10.48550/arxiv.1707.02066 · pith_short_12: YRWNRRCV2CEU · pith_short_16: YRWNRRCV2CEU5EES · pith_short_8: YRWNRRCV

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/YRWNRRCV2CEU5EESYSDVFOE5DR \
  | 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: c46cd8c455d0894e9092c48752b89d1c586e1665b1e6bf77fd897d1f02c4cdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3583d7150bbbd8b2b5b1772d3d3d5a3c35932828739284ae752ada5b4409a5",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-07-07T07:57:38Z",
    "title_canon_sha256": "71c5b5314f2af1300621afdde02a0dc7de4802b5789a88696d49e993447e2c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02066",
    "kind": "arxiv",
    "version": 1
  }
}