Pith Number

pith:5E3JUVDO

pith:2015:5E3JUVDOV572ZRHNIBWBIK736J

not attested not anchored not stored refs pending

Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

Kiyoshi Takeuchi, Yuichi Ike, Yutaka Matsui

arxiv:1504.04185 v2 · 2015-04-16 · 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{5E3JUVDOV572ZRHNIBWBIK736J}

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	2026-05-18T02:03:45.021359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9369a546eaf7facc4ed406c142bfbf270786c08c58ae193bca0abcf5250f156

Aliases

arxiv: 1504.04185 · arxiv_version: 1504.04185v2 · doi: 10.48550/arxiv.1504.04185 · pith_short_12: 5E3JUVDOV572 · pith_short_16: 5E3JUVDOV572ZRHN · pith_short_8: 5E3JUVDO

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/5E3JUVDOV572ZRHNIBWBIK736J \
  | 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: e9369a546eaf7facc4ed406c142bfbf270786c08c58ae193bca0abcf5250f156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26443918f13d4d2b1463c25398832b757119c9bc4a877a3cfa780b48eb3d87cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-16T11:27:25Z",
    "title_canon_sha256": "0390c87c5baf253a2884cf410eaa1f9b6366f3bc2c10031dd1885161bc9d9f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04185",
    "kind": "arxiv",
    "version": 2
  }
}