Pith Number

pith:VR6OL7OJ

pith:2019:VR6OL7OJFMUZUOZ3OIV5LUGHBG

not attested not anchored not stored refs pending

Integral Models for Spaces via the Higher Frobenius

Allen Yuan

arxiv:1910.00999 v2 · 2019-10-02 · math.AT · 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{VR6OL7OJFMUZUOZ3OIV5LUGHBG}

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	2026-07-05T03:32:48.164812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7ce5fdc92b299a3b3b722bd5d0c709bb7e5b64c17ccb5fc4124a7dad7c52df

Aliases

arxiv: 1910.00999 · arxiv_version: 1910.00999v2 · doi: 10.48550/arxiv.1910.00999 · pith_short_12: VR6OL7OJFMUZ · pith_short_16: VR6OL7OJFMUZUOZ3 · pith_short_8: VR6OL7OJ

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/VR6OL7OJFMUZUOZ3OIV5LUGHBG \
  | 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: ac7ce5fdc92b299a3b3b722bd5d0c709bb7e5b64c17ccb5fc4124a7dad7c52df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7550522aa1a5efd75730da555e285e39b89096f2e9e60ec69e414ba7100bf0",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-10-02T15:02:48Z",
    "title_canon_sha256": "83b7b26e9f8ab9186d3b234f58279c61cb301957c229fbee68b85868942272cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.00999",
    "kind": "arxiv",
    "version": 2
  }
}