Pith Number

pith:2M6YDBWA

pith:2016:2M6YDBWAKUBYNYEPL4V7IAFFDU

not attested not anchored not stored refs pending

Hyperbolic localization via shrinking subbundles

Yuichi Ike

arxiv:1602.04651 v3 · 2016-02-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M6YDBWAKUBYNYEPL4V7IAFFDU}

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	2026-05-18T00:45:01.754650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33d8186c0550386e08f5f2bf400a51d218ae2d43669d918f97ebdadddfd7fbc

Aliases

arxiv: 1602.04651 · arxiv_version: 1602.04651v3 · doi: 10.48550/arxiv.1602.04651 · pith_short_12: 2M6YDBWAKUBY · pith_short_16: 2M6YDBWAKUBYNYEP · pith_short_8: 2M6YDBWA

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/2M6YDBWAKUBYNYEPL4V7IAFFDU \
  | 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: d33d8186c0550386e08f5f2bf400a51d218ae2d43669d918f97ebdadddfd7fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e41283137351090648b31a2123298a7fd03df3ccfbbb540ae06d2f7ac921fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-15T12:31:25Z",
    "title_canon_sha256": "be11ca2a30e83c6234642e2efcdc0d9c3273e52ffd9c9a09b0ff4778a6e35a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04651",
    "kind": "arxiv",
    "version": 3
  }
}