Pith Number

pith:MINTMNJM

pith:2012:MINTMNJMU54Q6VJKZHKALAY7EB

not attested not anchored not stored refs pending

Subideals of operators

G. Weiss, S. Patnaik

arxiv:1210.1438 v1 · 2012-10-04 · math.OA · 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{MINTMNJMU54Q6VJKZHKALAY7EB}

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	2026-05-18T03:44:03.540171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621b36352ca7790f552ac9d405831f2068344e5373ed2d28cca7c2d08be39ae2

Aliases

arxiv: 1210.1438 · arxiv_version: 1210.1438v1 · doi: 10.48550/arxiv.1210.1438 · pith_short_12: MINTMNJMU54Q · pith_short_16: MINTMNJMU54Q6VJK · pith_short_8: MINTMNJM

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/MINTMNJMU54Q6VJKZHKALAY7EB \
  | 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: 621b36352ca7790f552ac9d405831f2068344e5373ed2d28cca7c2d08be39ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e97460eb85a7e3d5e640dff71a60c57b864aeff779aa0e90932d6a5642e500a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-04T13:42:24Z",
    "title_canon_sha256": "9461c945563be3b935440d9da6b33bf942c4b9da50d7301c0bad8031d0e7fa72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1438",
    "kind": "arxiv",
    "version": 1
  }
}