Pith Number

pith:IPXJP3SI

pith:2013:IPXJP3SINJNJZLKTB2HMOLPPGK

not attested not anchored not stored refs pending

Linear extensions of orders invariant under abelian group actions

Alexander R. Pruss

arxiv:1309.7295 v1 · 2013-09-27 · 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{IPXJP3SINJNJZLKTB2HMOLPPGK}

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	2026-05-18T03:11:59.617634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ee97ee486a5a9cad530e8ec72def32bdb890b8c471c0373efb089e6a9a9f23

Aliases

arxiv: 1309.7295 · arxiv_version: 1309.7295v1 · doi: 10.48550/arxiv.1309.7295 · pith_short_12: IPXJP3SINJNJ · pith_short_16: IPXJP3SINJNJZLKT · pith_short_8: IPXJP3SI

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/IPXJP3SINJNJZLKTB2HMOLPPGK \
  | 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: 43ee97ee486a5a9cad530e8ec72def32bdb890b8c471c0373efb089e6a9a9f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "228530639b301af8dc55b85bbd9f3b6a00048aa5f90b69738daafe467692de4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-27T16:49:52Z",
    "title_canon_sha256": "d817a8e25c44261bd60f604987935e03f19c9bdd5565d531d69d529a973779ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7295",
    "kind": "arxiv",
    "version": 1
  }
}