Pith Number

pith:TH6JRGFY

pith:2017:TH6JRGFY7F54P4XL76YUMCBCY7

not attested not anchored not stored refs pending

On weak equivalences of gradings

Alexey Gordienko, Ofir Schnabel

arxiv:1704.07170 v2 · 2017-04-24 · math.RA · math.CT · 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{TH6JRGFY7F54P4XL76YUMCBCY7}

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	2026-05-18T00:16:14.652467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99fc9898b8f97bc7f2ebffb1460822c7efcb27b1769a0df9129b63e80cb73de5

Aliases

arxiv: 1704.07170 · arxiv_version: 1704.07170v2 · doi: 10.48550/arxiv.1704.07170 · pith_short_12: TH6JRGFY7F54 · pith_short_16: TH6JRGFY7F54P4XL · pith_short_8: TH6JRGFY

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/TH6JRGFY7F54P4XL76YUMCBCY7 \
  | 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: 99fc9898b8f97bc7f2ebffb1460822c7efcb27b1769a0df9129b63e80cb73de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e086f4659cc2a988da069955550bc1ab52690695047e826a2320d057b07aba2",
    "cross_cats_sorted": [
      "math.CT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-04-24T12:15:47Z",
    "title_canon_sha256": "abc7d3dc145a9bc28a597daace30286b958c23c0ee872dae0a3e1b3f2a30fef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07170",
    "kind": "arxiv",
    "version": 2
  }
}