pith. sign in
Pith Number

pith:NMIKYFIH

pith:2018:NMIKYFIHDICQKLTK3F7FR2H6SK
not attested not anchored not stored refs pending

Localization and Mirror Symmetry

Dustin Ross

arxiv:1807.02544 v1 · 2018-07-06 · math.AG · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NMIKYFIHDICQKLTK3F7FR2H6SK}

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 2026-05-18T00:11:16.799297Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6b10ac15071a05052e6ad97e58e8fe92892d28ef59703cd1dd45cdfa164441a6

Aliases

arxiv: 1807.02544 · arxiv_version: 1807.02544v1 · doi: 10.48550/arxiv.1807.02544 · pith_short_12: NMIKYFIHDICQ · pith_short_16: NMIKYFIHDICQKLTK · pith_short_8: NMIKYFIH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NMIKYFIHDICQKLTK3F7FR2H6SK \
  | 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: 6b10ac15071a05052e6ad97e58e8fe92892d28ef59703cd1dd45cdfa164441a6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "72330ca58e95ea050bbbbd2289717519c52a0a682ea7e0cce6962a1c0c95be8f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-06T18:48:11Z",
    "title_canon_sha256": "0826bf0c4a362f3549f51a9bfebf45f53af9345d1a1ece9c9bc82b52e44c63ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02544",
    "kind": "arxiv",
    "version": 1
  }
}