Pith Number

pith:YG7SGEQX

pith:2023:YG7SGEQXOTWVTZFGKYGXIG64T4

not attested not anchored not stored refs pending

Geometric realisation over aspherical groups

William Thomas

arxiv:2312.02948 v1 · 2023-12-05 · math.AT · math.GR · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YG7SGEQXOTWVTZFGKYGXIG64T4}

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

LlamaRec-LKG-RAG: A Single-Pass, Learnable Knowledge Graph-RAG Framework for LLM-Based Ranking

Receipt and verification

First computed	2026-07-05T07:20:45.003868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1bf23121774ed59e4a6560d741bdc9f0e42c76da6c5387b572fcf45907f96c4

Aliases

arxiv: 2312.02948 · arxiv_version: 2312.02948v1 · doi: 10.48550/arxiv.2312.02948 · pith_short_12: YG7SGEQXOTWV · pith_short_16: YG7SGEQXOTWVTZFG · pith_short_8: YG7SGEQX

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/YG7SGEQXOTWVTZFGKYGXIG64T4 \
  | 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: c1bf23121774ed59e4a6560d741bdc9f0e42c76da6c5387b572fcf45907f96c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2dd3838bcf89bc29ae5cc62e76ea84eb312546365282171ea707133c676de9",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-12-05T18:22:39Z",
    "title_canon_sha256": "17d7ea13d4551e79584c9d7107af30e332fe252475ccc97c44154e4b86e00838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.02948",
    "kind": "arxiv",
    "version": 1
  }
}