Pith Number

pith:QYMTVVV7

pith:2018:QYMTVVV7EX4MEIJKKDJBYF5VI6

not attested not anchored not stored refs pending

Homotopy types and geometries below Spec Z

Matilde Marcolli, Yuri I. Manin

arxiv:1806.10801 v2 · 2018-06-28 · 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{QYMTVVV7EX4MEIJKKDJBYF5VI6}

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	2026-05-18T00:07:17.265198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86193ad6bf25f8c2212a50d21c17b547aafe82b4c372348f47c634c9b306088a

Aliases

arxiv: 1806.10801 · arxiv_version: 1806.10801v2 · doi: 10.48550/arxiv.1806.10801 · pith_short_12: QYMTVVV7EX4M · pith_short_16: QYMTVVV7EX4MEIJK · pith_short_8: QYMTVVV7

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/QYMTVVV7EX4MEIJKKDJBYF5VI6 \
  | 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: 86193ad6bf25f8c2212a50d21c17b547aafe82b4c372348f47c634c9b306088a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c5f65f625a46e69d2aec222199c5e6ff3af36677a63b8b7d96ad66f7e7aadd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-28T07:19:06Z",
    "title_canon_sha256": "d79e62d115b1ce2b39002c4ae4f52ee68bac1983cb3d5f58f0d42c66b1c8fcb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10801",
    "kind": "arxiv",
    "version": 2
  }
}