Pith Number

pith:7RTTKOHK

pith:2016:7RTTKOHKEPJIWJBLD6FVDXLJH3

not attested not anchored not stored refs pending

Symmetric products and subgroup lattices

Markus Hausmann

arxiv:1607.07559 v2 · 2016-07-26 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RTTKOHKEPJIWJBLD6FVDXLJH3}

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	2026-05-18T00:16:50.913542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc673538ea23d28b242b1f8b51dd693ee35ba791830559f7dbd66bb76d707678

Aliases

arxiv: 1607.07559 · arxiv_version: 1607.07559v2 · doi: 10.48550/arxiv.1607.07559 · pith_short_12: 7RTTKOHKEPJI · pith_short_16: 7RTTKOHKEPJIWJBL · pith_short_8: 7RTTKOHK

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/7RTTKOHKEPJIWJBLD6FVDXLJH3 \
  | 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: fc673538ea23d28b242b1f8b51dd693ee35ba791830559f7dbd66bb76d707678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca92530b11d03e4569da3405c1fdf4ec09abe8ce1365ebbe09afd1996d59d255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-07-26T06:59:53Z",
    "title_canon_sha256": "3d5ba418a58cf9cf5165026dc31fd12c5eb86a3e8071e1a15ff1e794ce4defe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07559",
    "kind": "arxiv",
    "version": 2
  }
}