Pith Number

pith:V2TMHPDA

pith:2013:V2TMHPDAJSVUE7PVHY54CWWKD4

not attested not anchored not stored refs pending

Reducts of structures and maximal-closed permutation groups

Dugald Macpherson, Manuel Bodirsky

arxiv:1310.6393 v2 · 2013-10-23 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2TMHPDAJSVUE7PVHY54CWWKD4}

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	2026-05-18T02:26:10.881900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea6c3bc604cab427df53e3bc15aca1f0720021e28691e79c4505def51417f33

Aliases

arxiv: 1310.6393 · arxiv_version: 1310.6393v2 · doi: 10.48550/arxiv.1310.6393 · pith_short_12: V2TMHPDAJSVU · pith_short_16: V2TMHPDAJSVUE7PV · pith_short_8: V2TMHPDA

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/V2TMHPDAJSVUE7PVHY54CWWKD4 \
  | 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: aea6c3bc604cab427df53e3bc15aca1f0720021e28691e79c4505def51417f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a6a40669576297c578c7723e2ccdc43d91a55f8d472a13fd513a4de24a4b5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-23T21:00:42Z",
    "title_canon_sha256": "68295698c87c99ecbdc40f68a810bd396b9c3965057b990421e6393ac89459d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6393",
    "kind": "arxiv",
    "version": 2
  }
}