Pith Number

pith:QXUK6GOP

pith:2014:QXUK6GOPLR37KAK4QSU4FVCR2K

not attested not anchored not stored refs pending

An Open Mapping Theorem for rings which have a zero sequence of units

T. Henkel

arxiv:1407.5647 v2 · 2014-07-21 · math.FA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXUK6GOPLR37KAK4QSU4FVCR2K}

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	2026-05-18T02:41:01.661636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e8af19cf5c77f5015c84a9c2d451d28b927c65f9027ebc234a9c5740f71616

Aliases

arxiv: 1407.5647 · arxiv_version: 1407.5647v2 · doi: 10.48550/arxiv.1407.5647 · pith_short_12: QXUK6GOPLR37 · pith_short_16: QXUK6GOPLR37KAK4 · pith_short_8: QXUK6GOP

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/QXUK6GOPLR37KAK4QSU4FVCR2K \
  | 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: 85e8af19cf5c77f5015c84a9c2d451d28b927c65f9027ebc234a9c5740f71616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04d78902bef583b61cdce877c02267bba48b1d305af8fc3bbd550abb730dd70",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-21T20:07:58Z",
    "title_canon_sha256": "928c3e3da1487e6c80c4d63daa6c3931c1b220d25cd7af6728c69972d3d22354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5647",
    "kind": "arxiv",
    "version": 2
  }
}