Pith Number

pith:ZMIS66J7

pith:2019:ZMIS66J74F4GXROF3BIKTM4JN4

not attested not anchored not stored refs pending

Metrics and compactifications of Teichm\"uller spaces of flat tori

Lizhen Ji, Mark Greenfield

arxiv:1903.10655 v1 · 2019-03-26 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMIS66J74F4GXROF3BIKTM4JN4}

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	2026-05-17T23:50:18.197768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb112f793fe1786bc5c5d850a9b3896f125c1e72933a0618911dcf5bf1dad0af

Aliases

arxiv: 1903.10655 · arxiv_version: 1903.10655v1 · doi: 10.48550/arxiv.1903.10655 · pith_short_12: ZMIS66J74F4G · pith_short_16: ZMIS66J74F4GXROF · pith_short_8: ZMIS66J7

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/ZMIS66J74F4GXROF3BIKTM4JN4 \
  | 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: cb112f793fe1786bc5c5d850a9b3896f125c1e72933a0618911dcf5bf1dad0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5966c6e1af311b78dc730ebf4b49f2c8214233d10b4cd167f483f70e28b8a4",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-26T02:18:44Z",
    "title_canon_sha256": "a62571062219f7ad1d18ad7b7a62714480464f33cc1a21fd50fee362528ba5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10655",
    "kind": "arxiv",
    "version": 1
  }
}