Pith Number

pith:R4IHNGS4

pith:2025:R4IHNGS4EIAW3JDR26WPYC22BI

not attested not anchored not stored refs pending

Circle graphs and the automorphism group of the circle

Agelos Georgakopoulos

arxiv:2501.07698 v1 · 2025-01-13 · math.CO · 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{R4IHNGS4EIAW3JDR26WPYC22BI}

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	2026-07-05T10:00:48.718374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f10769a5c22016da471d7acfc0b5a0a153c918018a708c4dca321c984cb6715

Aliases

arxiv: 2501.07698 · arxiv_version: 2501.07698v1 · doi: 10.48550/arxiv.2501.07698 · pith_short_12: R4IHNGS4EIAW · pith_short_16: R4IHNGS4EIAW3JDR · pith_short_8: R4IHNGS4

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/R4IHNGS4EIAW3JDR26WPYC22BI \
  | 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: 8f10769a5c22016da471d7acfc0b5a0a153c918018a708c4dca321c984cb6715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f4eba633f247b60ca99d7f5f2ea8c5d8095eb4be2176b81ae3e665e589f0899",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-13T21:18:34Z",
    "title_canon_sha256": "56231e6715372d28d0b1120ccea2a38b838d2ca269209f7b42ed0435f32df9a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07698",
    "kind": "arxiv",
    "version": 1
  }
}