Pith Number

pith:NXXMOMO2

pith:2015:NXXMOMO23OGBCSYPYBPWWQBQA3

not attested not anchored not stored refs pending

Quasi-isometric embeddings of non-uniform lattices

David Fisher, Thang Nguyen

arxiv:1512.07285 v2 · 2015-12-22 · math.GR · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXXMOMO23OGBCSYPYBPWWQBQA3}

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	2026-05-18T00:44:09.886938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6deec731dadb8c114b0fc05f6b403006f8c93af0d085612dcb9bc12c579ba86a

Aliases

arxiv: 1512.07285 · arxiv_version: 1512.07285v2 · doi: 10.48550/arxiv.1512.07285 · pith_short_12: NXXMOMO23OGB · pith_short_16: NXXMOMO23OGBCSYP · pith_short_8: NXXMOMO2

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/NXXMOMO23OGBCSYPYBPWWQBQA3 \
  | 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: 6deec731dadb8c114b0fc05f6b403006f8c93af0d085612dcb9bc12c579ba86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621af6ec61055a5db0e64e13757b7fa7fa2b5459c26d6e648f6285a6654323e4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-22T22:32:51Z",
    "title_canon_sha256": "6c4b892ae8ef84f7ff419905545e3201d285c2c9d19b34483d71ed6a7736aa50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07285",
    "kind": "arxiv",
    "version": 2
  }
}