Pith Number

pith:6NM7BOXV

pith:2021:6NM7BOXVIRCO5HFTZQDRQZ7PBK

not attested not anchored not stored refs pending

The Deformation Spaces of Geodesic Triangulations of Flat Tori

Tianqi Wu, Xiaoping Zhu, Yanwen Luo

arxiv:2107.05159 v1 · 2021-07-12 · 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{6NM7BOXVIRCO5HFTZQDRQZ7PBK}

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	2026-07-05T02:57:00.179727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f359f0baf54444ee9cb3cc071867ef0aafa8976cb106242492d6d3a98d809093

Aliases

arxiv: 2107.05159 · arxiv_version: 2107.05159v1 · doi: 10.48550/arxiv.2107.05159 · pith_short_12: 6NM7BOXVIRCO · pith_short_16: 6NM7BOXVIRCO5HFT · pith_short_8: 6NM7BOXV

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/6NM7BOXVIRCO5HFTZQDRQZ7PBK \
  | 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: f359f0baf54444ee9cb3cc071867ef0aafa8976cb106242492d6d3a98d809093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ae28919e044afc7109aaecdad0d92a04153ade9be33987b218ebc88dd3e3191",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-07-12T01:33:03Z",
    "title_canon_sha256": "2b511cc2c7f732f4ef8e36a920f978ba38f51b25d07cafbe98381531b970fb9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05159",
    "kind": "arxiv",
    "version": 1
  }
}