Pith Number

pith:NGFIMUGT

pith:2017:NGFIMUGTYAH7VTDX2JNRLGRJEL

not attested not anchored not stored refs pending

Traces on ideals and the commutator property

Gary Weiss, Jireh Loreaux

arxiv:1712.06702 v1 · 2017-12-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGFIMUGTYAH7VTDX2JNRLGRJEL}

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	2026-05-17T23:53:01.336439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698a8650d3c00ffacc77d25b159a2922f82d915446b75d281af0bf9ba71c5d90

Aliases

arxiv: 1712.06702 · arxiv_version: 1712.06702v1 · doi: 10.48550/arxiv.1712.06702 · pith_short_12: NGFIMUGTYAH7 · pith_short_16: NGFIMUGTYAH7VTDX · pith_short_8: NGFIMUGT

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/NGFIMUGTYAH7VTDX2JNRLGRJEL \
  | 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: 698a8650d3c00ffacc77d25b159a2922f82d915446b75d281af0bf9ba71c5d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc7f4e3c38c803835e93856391814e6f451f886b890732a1ee3e2bcd9b4f52ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-18T22:43:02Z",
    "title_canon_sha256": "e6e86d32e28dfcb40845f954754d61bac19221a6b748d4535f491cf699eab4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06702",
    "kind": "arxiv",
    "version": 1
  }
}