Pith Number

pith:77C44CGT

pith:2018:77C44CGTAKJ3OI3B5TE5LRNAVF

not attested not anchored not stored refs pending

On the Bass Stable Rank of Stein Algebras

Alexander Brudnyi

arxiv:1803.10790 v1 · 2018-03-28 · math.CV · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77C44CGTAKJ3OI3B5TE5LRNAVF}

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	2026-05-18T00:19:50.237199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc5ce08d30293b72361ecc9d5c5a0a94a705bc64b7acef3456cc363633eaeec

Aliases

arxiv: 1803.10790 · arxiv_version: 1803.10790v1 · doi: 10.48550/arxiv.1803.10790 · pith_short_12: 77C44CGTAKJ3 · pith_short_16: 77C44CGTAKJ3OI3B · pith_short_8: 77C44CGT

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/77C44CGTAKJ3OI3B5TE5LRNAVF \
  | 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: ffc5ce08d30293b72361ecc9d5c5a0a94a705bc64b7acef3456cc363633eaeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b21797601f06a5784c2ee8bcf417bb37a22fb41888b0886d7c2302e2d26ace5",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-03-28T18:09:38Z",
    "title_canon_sha256": "239491e01d6ba590f167d13b4d25f54b1022ac77111f29c2e9b2c3460a378f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10790",
    "kind": "arxiv",
    "version": 1
  }
}