Pith Number

pith:TYTAG3ZO

pith:2017:TYTAG3ZOYZR2N2LV3O6STDDK66

not attested not anchored not stored refs pending

A Reduction theorem for the $W$-graph decomposition conjecture

Johannes Hahn

arxiv:1707.02952 v1 · 2017-07-10 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYTAG3ZOYZR2N2LV3O6STDDK66}

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	2026-05-18T00:40:35.366365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e26036f2ec663a6e975dbbd298c6af7a27492dcc0b25616fefadce67fa7c790

Aliases

arxiv: 1707.02952 · arxiv_version: 1707.02952v1 · doi: 10.48550/arxiv.1707.02952 · pith_short_12: TYTAG3ZOYZR2 · pith_short_16: TYTAG3ZOYZR2N2LV · pith_short_8: TYTAG3ZO

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/TYTAG3ZOYZR2N2LV3O6STDDK66 \
  | 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: 9e26036f2ec663a6e975dbbd298c6af7a27492dcc0b25616fefadce67fa7c790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "464a0bbf1f10433ff38c03733f7c1cf3c85f53b1dc802a665072b46dc1389a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-10T17:14:42Z",
    "title_canon_sha256": "176a0904b1889208b095f5b4b7fd566dcf0fcb0226ad5b4a9373a69ee95bfd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02952",
    "kind": "arxiv",
    "version": 1
  }
}