Pith Number

pith:PWYGGHTO

pith:2016:PWYGGHTOAWR73ZJD3OL7377T2V

not attested not anchored not stored refs pending

Moduli spaces of flat tori with prescribed holonomy

Luc Pirio, Selim Ghazouani

arxiv:1604.01812 v2 · 2016-04-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWYGGHTOAWR73ZJD3OL7377T2V}

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	2026-05-18T00:31:29.066007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db0631e6e05a3fde523db97fdfff3d56bcaadd21831d10fb2246e519fed5d87

Aliases

arxiv: 1604.01812 · arxiv_version: 1604.01812v2 · doi: 10.48550/arxiv.1604.01812 · pith_short_12: PWYGGHTOAWR7 · pith_short_16: PWYGGHTOAWR73ZJD · pith_short_8: PWYGGHTO

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/PWYGGHTOAWR73ZJD3OL7377T2V \
  | 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: 7db0631e6e05a3fde523db97fdfff3d56bcaadd21831d10fb2246e519fed5d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc797e48aa8bcb8134a3063153604c82fb7275f511918ef3aaf1c1581947aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-06T21:30:35Z",
    "title_canon_sha256": "131ced3d5fa386b48c1eec29a254cbce1ba82e7ab0e2eb8298c5b63c1598a381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01812",
    "kind": "arxiv",
    "version": 2
  }
}