Pith Number

pith:W5T2PVTS

pith:2015:W5T2PVTSTDU3D6IFQAZNHJ3MTN

not attested not anchored not stored refs pending

Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere

Irene Pasquinelli

arxiv:1509.05320 v2 · 2015-09-17 · 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{W5T2PVTSTDU3D6IFQAZNHJ3MTN}

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	2026-05-18T01:17:25.375531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b767a7d67298e9b1f9058032d3a76c9b488095acd40a2c461ac2d86be1182c56

Aliases

arxiv: 1509.05320 · arxiv_version: 1509.05320v2 · doi: 10.48550/arxiv.1509.05320 · pith_short_12: W5T2PVTSTDU3 · pith_short_16: W5T2PVTSTDU3D6IF · pith_short_8: W5T2PVTS

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/W5T2PVTSTDU3D6IFQAZNHJ3MTN \
  | 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: b767a7d67298e9b1f9058032d3a76c9b488095acd40a2c461ac2d86be1182c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba322ba24f07d802d00a9fc97311ac08738556fe49c2ae68d1c63befbd111f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-17T16:31:46Z",
    "title_canon_sha256": "c504b3b6618373512af6f16e8d70d0e20bb0c4671ec3879bf8aa30f40482219e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05320",
    "kind": "arxiv",
    "version": 2
  }
}