Pith Number

pith:46GJMD3Y

pith:2015:46GJMD3YNSX4B7YCC4STSQVKB4

not attested not anchored not stored refs pending

Towards a noncommutative Brouwer fixed-point theorem

Ludwik Dabrowski

arxiv:1504.03588 v3 · 2015-04-14 · math.QA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46GJMD3YNSX4B7YCC4STSQVKB4}

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	2026-05-18T00:57:38.366855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78c960f786cafc0ff0217253942aa0f1ca87ebfb8c5a967d4e8b93fb41f74dc

Aliases

arxiv: 1504.03588 · arxiv_version: 1504.03588v3 · doi: 10.48550/arxiv.1504.03588 · pith_short_12: 46GJMD3YNSX4 · pith_short_16: 46GJMD3YNSX4B7YC · pith_short_8: 46GJMD3Y

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/46GJMD3YNSX4B7YCC4STSQVKB4 \
  | 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: e78c960f786cafc0ff0217253942aa0f1ca87ebfb8c5a967d4e8b93fb41f74dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d750125813fa3809dafba14dc2fb55ad69fb914c568f5fd0d8983f68bcf8ec6",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-04-14T15:41:54Z",
    "title_canon_sha256": "80e27841b9bc653da1e1f25048b247e94b62c28a32fb50b67b92f6f87f5e35d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03588",
    "kind": "arxiv",
    "version": 3
  }
}